\documentclass[9pt]{article}
\usepackage{amsmath}
\begin{document}
Read in the following dictionary:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  1.0 & -7.00 x_{1} & +  5.00 x_{2} & +  4.00 x_{3} & -6.00 x_{4} & -5.00 x_{5} & -2.00 x_{6} & +  4.00 x_{7} & +  2.00 x_{8} & +  2.00 x_{9} &   & +  9.00 x_{11} & -2.00 x_{12} & -1.00 x_{13} & -10.00 x_{14} & +  8.00 x_{15} & -4.00 x_{16}\\
 x_{18}   &  51.0 & +  1.00 x_{1} & +  1.00 x_{2} & -9.00 x_{3} & -5.00 x_{4} & -7.00 x_{5} & +  3.00 x_{6} & -1.00 x_{7} & -8.00 x_{8} & +  2.00 x_{9} & -7.00 x_{10} & -5.00 x_{11} & -7.00 x_{12} & + 10.00 x_{13} & +  5.00 x_{14} & -5.00 x_{15} & +  1.00 x_{16}\\
 x_{19}   &  62.0 & -5.00 x_{1} & -1.00 x_{2} & -8.00 x_{3} & +  1.00 x_{4} &   & + 10.00 x_{6} & +  1.00 x_{7} & +  1.00 x_{8} & +  4.00 x_{9} & +  6.00 x_{10} & -6.00 x_{11} & +  2.00 x_{12} & -8.00 x_{13} & -1.00 x_{14} & -7.00 x_{15} & -8.00 x_{16}\\
 x_{20}   &  -1.0 & -9.00 x_{1} & -8.00 x_{2} & +  2.00 x_{3} & -4.00 x_{4} & +  3.00 x_{5} & + 10.00 x_{6} & +  8.00 x_{7} & +  6.00 x_{8} & +  1.00 x_{9} & -5.00 x_{10} & +  1.00 x_{11} & +  1.00 x_{12} & +  1.00 x_{13} & +  2.00 x_{14} & +  1.00 x_{15} & -3.00 x_{16}\\
 x_{21}   &  52.0 & +  8.00 x_{1} & -2.00 x_{2} & -9.00 x_{3} & -9.00 x_{4} & -7.00 x_{5} & -4.00 x_{6} & +  2.00 x_{7} & -8.00 x_{8} & +  7.00 x_{9} & -7.00 x_{10} & -6.00 x_{11} &   & +  6.00 x_{13} & +  1.00 x_{14} & +  4.00 x_{15} & +  1.00 x_{16}\\
 x_{22}   &  22.0 & -6.00 x_{1} &   & + 10.00 x_{3} & -2.00 x_{4} & -7.00 x_{5} & -2.00 x_{6} & +  2.00 x_{7} & +  2.00 x_{8} & -5.00 x_{9} & -9.00 x_{10} & +  3.00 x_{11} & -10.00 x_{12} & -5.00 x_{13} & +  2.00 x_{14} & -8.00 x_{15} & -1.00 x_{16}\\
 x_{23}   &  26.0 & -6.00 x_{1} & -6.00 x_{2} & +  8.00 x_{3} &   & -1.00 x_{5} & -8.00 x_{6} & -6.00 x_{7} & -10.00 x_{8} & + 10.00 x_{9} & +  6.00 x_{10} & +  5.00 x_{11} & +  6.00 x_{12} & -8.00 x_{13} & +  8.00 x_{14} & -4.00 x_{15} & +  3.00 x_{16}\\
 x_{24}   &  -17.0 & +  2.00 x_{1} & -4.00 x_{2} & +  6.00 x_{3} & +  1.00 x_{4} & -9.00 x_{5} & +  5.00 x_{6} & +  8.00 x_{7} &   & +  1.00 x_{9} & -3.00 x_{10} & -9.00 x_{11} & + 10.00 x_{12} & -5.00 x_{13} & +  9.00 x_{14} & + 10.00 x_{15} & +  8.00 x_{16}\\
 x_{25}   &  -1.0 & +  3.00 x_{1} &    &    &   & +  2.00 x_{5} & -7.00 x_{6} & +  4.00 x_{7} & + 10.00 x_{8} & +  5.00 x_{9} & -10.00 x_{10} & + 10.00 x_{11} & -8.00 x_{12} & +  9.00 x_{13} & +  4.00 x_{14} & +  2.00 x_{15} & -7.00 x_{16}\\
 x_{26}   &  1.0 & -10.00 x_{1} & -7.00 x_{2} & +  8.00 x_{3} &   & -10.00 x_{5} & +  6.00 x_{6} & -10.00 x_{7} & +  6.00 x_{8} & +  3.00 x_{9} & -4.00 x_{10} & -4.00 x_{11} & +  1.00 x_{12} & -5.00 x_{13} & -4.00 x_{14} & +  5.00 x_{15} &   \\
 x_{27}   &  23.0 & +  1.00 x_{1} & -10.00 x_{2} & +  6.00 x_{3} & -5.00 x_{4} & -4.00 x_{5} & -5.00 x_{6} & +  9.00 x_{7} & -6.00 x_{8} & +  4.00 x_{9} & -2.00 x_{10} & +  9.00 x_{11} & +  4.00 x_{12} & -10.00 x_{13} & -3.00 x_{14} & +  2.00 x_{15} & -4.00 x_{16}\\
 x_{28}   &  -3.0 & +  6.00 x_{1} & +  4.00 x_{2} & +  6.00 x_{3} & +  6.00 x_{4} & +  1.00 x_{5} & -10.00 x_{6} & -6.00 x_{7} & +  6.00 x_{8} & + 10.00 x_{9} & +  7.00 x_{10} & +  7.00 x_{11} & +  1.00 x_{12} & +  7.00 x_{13} & -8.00 x_{14} & + 10.00 x_{15} & +  8.00 x_{16}\\
 x_{29}   &  23.0 & -9.00 x_{1} & +  7.00 x_{2} & +  1.00 x_{3} & +  2.00 x_{4} & +  6.00 x_{5} & +  8.00 x_{6} & +  2.00 x_{7} & -9.00 x_{8} & +  3.00 x_{9} & -5.00 x_{10} & +  2.00 x_{11} & -1.00 x_{12} & -7.00 x_{13} & +  1.00 x_{14} & -10.00 x_{15} & -6.00 x_{16}\\
 x_{30}   &  -12.0 & -7.00 x_{1} &   & +  9.00 x_{3} & +  8.00 x_{4} & -7.00 x_{5} & -9.00 x_{6} & +  9.00 x_{7} &   & +  5.00 x_{9} &   & -9.00 x_{11} & +  9.00 x_{12} & +  8.00 x_{13} & -4.00 x_{14} & -3.00 x_{15} & +  9.00 x_{16}\\
 x_{31}   &  -7.0 & -2.00 x_{1} & +  9.00 x_{2} & +  1.00 x_{3} & -8.00 x_{4} & -10.00 x_{5} & -2.00 x_{6} & +  4.00 x_{7} & -1.00 x_{8} & -3.00 x_{9} & -9.00 x_{10} & +  2.00 x_{11} & -1.00 x_{12} & + 10.00 x_{13} & +  8.00 x_{14} & +  7.00 x_{15} & +  3.00 x_{16}\\
 x_{32}   &  21.0 & +  7.00 x_{1} & -9.00 x_{2} & +  6.00 x_{3} & +  8.00 x_{4} & -9.00 x_{5} & +  4.00 x_{6} & -7.00 x_{7} & -4.00 x_{8} & -1.00 x_{9} & +  4.00 x_{10} & -1.00 x_{11} & -4.00 x_{12} & -10.00 x_{13} & -1.00 x_{14} & -6.00 x_{15} & -10.00 x_{16}\\
\hline
z    &  0.0 & +  1.00 x_{1} & -5.00 x_{2} & +  2.00 x_{3} & +  2.00 x_{4} & -2.00 x_{5} & -2.00 x_{6} & -1.00 x_{7} & +  5.00 x_{8} & +  5.00 x_{9} & -2.00 x_{10} & +  3.00 x_{11} &   & -1.00 x_{13} & -4.00 x_{14} & +  3.00 x_{15} & -1.00 x_{16}\\
\end{array}\]
\subsection{Initialization Phase: Dual Problem Solving}
New Objective in primal was changed to : \[ \max\ \sum_{j=1}^{16}\ - x_j \] 
Primal variable $x_j$ corresponds to dual variable $y_j$ for $j = 1,\ldots,32$
Dual Dictionary (with objective changed is): 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  1.0 & +  7.00 y_{17} & -1.00 y_{18} & +  5.00 y_{19} & +  9.00 y_{20} & -8.00 y_{21} & +  6.00 y_{22} & +  6.00 y_{23} & -2.00 y_{24} & -3.00 y_{25} & + 10.00 y_{26} & -1.00 y_{27} & -6.00 y_{28} & +  9.00 y_{29} & +  7.00 y_{30} & +  2.00 y_{31} & -7.00 y_{32}\\
 y_{2}   &  1.0 & -5.00 y_{17} & -1.00 y_{18} & +  1.00 y_{19} & +  8.00 y_{20} & +  2.00 y_{21} &   & +  6.00 y_{23} & +  4.00 y_{24} &   & +  7.00 y_{26} & + 10.00 y_{27} & -4.00 y_{28} & -7.00 y_{29} &   & -9.00 y_{31} & +  9.00 y_{32}\\
 y_{3}   &  1.0 & -4.00 y_{17} & +  9.00 y_{18} & +  8.00 y_{19} & -2.00 y_{20} & +  9.00 y_{21} & -10.00 y_{22} & -8.00 y_{23} & -6.00 y_{24} &   & -8.00 y_{26} & -6.00 y_{27} & -6.00 y_{28} & -1.00 y_{29} & -9.00 y_{30} & -1.00 y_{31} & -6.00 y_{32}\\
 y_{4}   &  1.0 & +  6.00 y_{17} & +  5.00 y_{18} & -1.00 y_{19} & +  4.00 y_{20} & +  9.00 y_{21} & +  2.00 y_{22} &   & -1.00 y_{24} &    &   & +  5.00 y_{27} & -6.00 y_{28} & -2.00 y_{29} & -8.00 y_{30} & +  8.00 y_{31} & -8.00 y_{32}\\
 y_{5}   &  1.0 & +  5.00 y_{17} & +  7.00 y_{18} &   & -3.00 y_{20} & +  7.00 y_{21} & +  7.00 y_{22} & +  1.00 y_{23} & +  9.00 y_{24} & -2.00 y_{25} & + 10.00 y_{26} & +  4.00 y_{27} & -1.00 y_{28} & -6.00 y_{29} & +  7.00 y_{30} & + 10.00 y_{31} & +  9.00 y_{32}\\
 y_{6}   &  1.0 & +  2.00 y_{17} & -3.00 y_{18} & -10.00 y_{19} & -10.00 y_{20} & +  4.00 y_{21} & +  2.00 y_{22} & +  8.00 y_{23} & -5.00 y_{24} & +  7.00 y_{25} & -6.00 y_{26} & +  5.00 y_{27} & + 10.00 y_{28} & -8.00 y_{29} & +  9.00 y_{30} & +  2.00 y_{31} & -4.00 y_{32}\\
 y_{7}   &  1.0 & -4.00 y_{17} & +  1.00 y_{18} & -1.00 y_{19} & -8.00 y_{20} & -2.00 y_{21} & -2.00 y_{22} & +  6.00 y_{23} & -8.00 y_{24} & -4.00 y_{25} & + 10.00 y_{26} & -9.00 y_{27} & +  6.00 y_{28} & -2.00 y_{29} & -9.00 y_{30} & -4.00 y_{31} & +  7.00 y_{32}\\
 y_{8}   &  1.0 & -2.00 y_{17} & +  8.00 y_{18} & -1.00 y_{19} & -6.00 y_{20} & +  8.00 y_{21} & -2.00 y_{22} & + 10.00 y_{23} &   & -10.00 y_{25} & -6.00 y_{26} & +  6.00 y_{27} & -6.00 y_{28} & +  9.00 y_{29} &   & +  1.00 y_{31} & +  4.00 y_{32}\\
 y_{9}   &  1.0 & -2.00 y_{17} & -2.00 y_{18} & -4.00 y_{19} & -1.00 y_{20} & -7.00 y_{21} & +  5.00 y_{22} & -10.00 y_{23} & -1.00 y_{24} & -5.00 y_{25} & -3.00 y_{26} & -4.00 y_{27} & -10.00 y_{28} & -3.00 y_{29} & -5.00 y_{30} & +  3.00 y_{31} & +  1.00 y_{32}\\
 y_{10}   &  1.0  &   & +  7.00 y_{18} & -6.00 y_{19} & +  5.00 y_{20} & +  7.00 y_{21} & +  9.00 y_{22} & -6.00 y_{23} & +  3.00 y_{24} & + 10.00 y_{25} & +  4.00 y_{26} & +  2.00 y_{27} & -7.00 y_{28} & +  5.00 y_{29} &   & +  9.00 y_{31} & -4.00 y_{32}\\
 y_{11}   &  1.0 & -9.00 y_{17} & +  5.00 y_{18} & +  6.00 y_{19} & -1.00 y_{20} & +  6.00 y_{21} & -3.00 y_{22} & -5.00 y_{23} & +  9.00 y_{24} & -10.00 y_{25} & +  4.00 y_{26} & -9.00 y_{27} & -7.00 y_{28} & -2.00 y_{29} & +  9.00 y_{30} & -2.00 y_{31} & +  1.00 y_{32}\\
 y_{12}   &  1.0 & +  2.00 y_{17} & +  7.00 y_{18} & -2.00 y_{19} & -1.00 y_{20} &   & + 10.00 y_{22} & -6.00 y_{23} & -10.00 y_{24} & +  8.00 y_{25} & -1.00 y_{26} & -4.00 y_{27} & -1.00 y_{28} & +  1.00 y_{29} & -9.00 y_{30} & +  1.00 y_{31} & +  4.00 y_{32}\\
 y_{13}   &  1.0 & +  1.00 y_{17} & -10.00 y_{18} & +  8.00 y_{19} & -1.00 y_{20} & -6.00 y_{21} & +  5.00 y_{22} & +  8.00 y_{23} & +  5.00 y_{24} & -9.00 y_{25} & +  5.00 y_{26} & + 10.00 y_{27} & -7.00 y_{28} & +  7.00 y_{29} & -8.00 y_{30} & -10.00 y_{31} & + 10.00 y_{32}\\
 y_{14}   &  1.0 & + 10.00 y_{17} & -5.00 y_{18} & +  1.00 y_{19} & -2.00 y_{20} & -1.00 y_{21} & -2.00 y_{22} & -8.00 y_{23} & -9.00 y_{24} & -4.00 y_{25} & +  4.00 y_{26} & +  3.00 y_{27} & +  8.00 y_{28} & -1.00 y_{29} & +  4.00 y_{30} & -8.00 y_{31} & +  1.00 y_{32}\\
 y_{15}   &  1.0 & -8.00 y_{17} & +  5.00 y_{18} & +  7.00 y_{19} & -1.00 y_{20} & -4.00 y_{21} & +  8.00 y_{22} & +  4.00 y_{23} & -10.00 y_{24} & -2.00 y_{25} & -5.00 y_{26} & -2.00 y_{27} & -10.00 y_{28} & + 10.00 y_{29} & +  3.00 y_{30} & -7.00 y_{31} & +  6.00 y_{32}\\
 y_{16}   &  1.0 & +  4.00 y_{17} & -1.00 y_{18} & +  8.00 y_{19} & +  3.00 y_{20} & -1.00 y_{21} & +  1.00 y_{22} & -3.00 y_{23} & -8.00 y_{24} & +  7.00 y_{25} &   & +  4.00 y_{27} & -8.00 y_{28} & +  6.00 y_{29} & -9.00 y_{30} & -3.00 y_{31} & + 10.00 y_{32}\\
\hline
z    &  -0 & -1.00 y_{17} & -51.00 y_{18} & -62.00 y_{19} & +  1.00 y_{20} & -52.00 y_{21} & -22.00 y_{22} & -26.00 y_{23} & + 17.00 y_{24} & +  1.00 y_{25} & -1.00 y_{26} & -23.00 y_{27} & +  3.00 y_{28} & -23.00 y_{29} & + 12.00 y_{30} & +  7.00 y_{31} & -21.00 y_{32}\\
\end{array}\]
Initialization succeeded in finding final dual dictionary with 10 pivots
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  1.35753176044 & +  0.32 y_{15} & -3.87 y_{18} & + 24.25 y_{19} & +  1.15 y_{12} & +  1.55 y_{21} & -15.29 y_{22} & -3.16 y_{23} & + 16.68 y_{20} & + 10.86 y_{17} & -0.96 y_{3} & +  8.49 y_{27} & -21.44 y_{28} & + 12.96 y_{29} & +  0.50 y_{7} & -1.37 y_{16} & -9.11 y_{32}\\
 y_{2}   &  1.07332123412 & -0.05 y_{15} & + 20.48 y_{18} & -18.67 y_{19} & -2.11 y_{12} & +  8.53 y_{21} & + 14.70 y_{22} & -3.31 y_{23} & -1.65 y_{20} & -12.45 y_{17} & -0.46 y_{3} & -10.20 y_{27} & +  9.61 y_{28} & -19.30 y_{29} & +  0.10 y_{7} & +  2.45 y_{16} & -10.14 y_{32}\\
 y_{26}   &  0.0174228675136 & -0.01 y_{15} & +  0.49 y_{18} & +  0.68 y_{19} & +  0.02 y_{12} & +  0.62 y_{21} & -0.64 y_{22} & -0.62 y_{23} & +  0.21 y_{20} & -0.23 y_{17} & -0.07 y_{3} & +  0.03 y_{27} & -0.76 y_{28} & +  0.13 y_{29} & +  0.04 y_{7} & +  0.00 y_{16} & -0.69 y_{32}\\
 y_{4}   &  0.89945553539 & -0.59 y_{15} & -7.88 y_{18} & + 12.94 y_{19} & +  1.27 y_{12} & +  0.56 y_{21} & +  1.88 y_{22} & +  8.49 y_{23} & + 12.54 y_{20} & +  8.03 y_{17} & +  0.58 y_{3} & + 20.82 y_{27} & -20.54 y_{28} & + 12.51 y_{29} & +  0.29 y_{7} & -1.45 y_{16} & +  6.39 y_{32}\\
 y_{5}   &  2.49618874773 & -0.54 y_{15} & +  5.45 y_{18} & + 26.56 y_{19} & +  1.28 y_{12} & + 10.33 y_{21} & -6.65 y_{22} & -1.97 y_{23} & +  3.59 y_{20} & +  3.20 y_{17} & -0.75 y_{3} & + 12.91 y_{27} & -25.16 y_{28} & +  8.39 y_{29} & +  0.26 y_{7} & -1.75 y_{16} & + 18.32 y_{32}\\
 y_{30}   &  0.0417422867514 & +  0.05 y_{15} & -0.03 y_{18} & +  0.67 y_{19} & +  0.05 y_{12} & +  0.71 y_{21} & -1.56 y_{22} & -0.48 y_{23} & -0.05 y_{20} & +  0.18 y_{17} & -0.07 y_{3} & -0.09 y_{27} & -0.12 y_{28} & -0.36 y_{29} & -0.02 y_{7} & -0.05 y_{16} & -0.22 y_{32}\\
 y_{24}   &  0.0744101633394 & -0.06 y_{15} & +  1.14 y_{18} & -0.96 y_{19} & -0.13 y_{12} & -0.33 y_{21} & +  1.75 y_{22} & +  0.11 y_{23} & -0.69 y_{20} & -0.68 y_{17} & +  0.02 y_{3} & -1.20 y_{27} & +  0.50 y_{28} & -0.04 y_{29} & -0.03 y_{7} & +  0.12 y_{16} & -0.02 y_{32}\\
 y_{8}   &  0.810526315789 & +  0.14 y_{15} & -4.09 y_{18} & +  1.22 y_{19} & +  0.10 y_{12} & -1.24 y_{21} & +  7.78 y_{22} & + 12.34 y_{23} & +  2.56 y_{20} & +  9.46 y_{17} & +  1.00 y_{3} & + 20.65 y_{27} & -10.91 y_{28} & + 17.11 y_{29} & +  0.28 y_{7} & -1.34 y_{16} & + 20.20 y_{32}\\
 y_{9}   &  0.71833030853 & -0.21 y_{15} & -12.78 y_{18} & +  0.46 y_{19} & +  0.41 y_{12} & -15.80 y_{21} & + 12.54 y_{22} & -5.06 y_{23} & +  6.56 y_{20} & +  4.39 y_{17} & +  0.84 y_{3} & +  9.32 y_{27} & -17.04 y_{28} & +  6.52 y_{29} & +  0.31 y_{7} & -1.07 y_{16} & + 14.15 y_{32}\\
 y_{10}   &  1.76261343013 & -0.57 y_{15} & +  6.55 y_{18} & + 10.42 y_{19} & +  1.39 y_{12} & + 10.13 y_{21} & -7.80 y_{22} & -0.78 y_{23} & +  3.22 y_{20} & -9.57 y_{17} & -0.73 y_{3} & +  1.06 y_{27} & -17.83 y_{28} & + 11.01 y_{29} & -0.33 y_{7} & -0.51 y_{16} & -3.06 y_{32}\\
 y_{11}   &  1.91470054446 & +  0.06 y_{15} & + 12.30 y_{18} & +  5.54 y_{19} & -1.01 y_{12} & +  7.57 y_{21} & +  6.15 y_{22} & -13.97 y_{23} & +  0.19 y_{20} & -5.43 y_{17} & -0.10 y_{3} & -10.82 y_{27} & -10.41 y_{28} & -0.54 y_{29} & +  0.25 y_{7} & -0.12 y_{16} & +  3.45 y_{32}\\
 y_{6}   &  1.06243194192 & +  0.70 y_{15} & -9.57 y_{18} & -1.52 y_{19} & +  1.34 y_{12} & + 11.10 y_{21} & -24.73 y_{22} & +  9.49 y_{23} & -12.65 y_{20} & +  2.27 y_{17} & -0.71 y_{3} & +  4.28 y_{27} & + 12.46 y_{28} & -14.13 y_{29} & -0.68 y_{7} & -0.72 y_{16} & -5.87 y_{32}\\
 y_{13}   &  0.629401088929 & -0.39 y_{15} & +  6.50 y_{18} & -18.01 y_{19} & -2.83 y_{12} & -10.94 y_{21} & + 43.11 y_{22} & +  1.46 y_{23} & -4.26 y_{20} & +  0.31 y_{17} & +  0.76 y_{3} & -0.68 y_{27} & +  4.67 y_{28} & +  2.53 y_{29} & +  0.63 y_{7} & +  2.20 y_{16} & +  1.80 y_{32}\\
 y_{14}   &  0.209800362976 & +  0.93 y_{15} & -4.50 y_{18} & -1.61 y_{19} & -0.11 y_{12} & +  8.35 y_{21} & -12.74 y_{22} & -18.96 y_{23} & +  1.02 y_{20} & + 16.99 y_{17} & -0.52 y_{3} & +  4.88 y_{27} & + 11.95 y_{28} & -10.21 y_{29} & +  0.43 y_{7} & +  0.07 y_{16} & -10.96 y_{32}\\
 y_{25}   &  0.0123411978221 & -0.01 y_{15} & +  0.76 y_{18} & -0.40 y_{19} & -0.00 y_{12} & +  0.51 y_{21} & -0.73 y_{22} & +  0.20 y_{23} & -0.89 y_{20} & -0.97 y_{17} & -0.06 y_{3} & -1.31 y_{27} & +  0.76 y_{28} & -0.74 y_{29} & -0.05 y_{7} & +  0.11 y_{16} & -1.05 y_{32}\\
 y_{31}   &  0.0384754990926 & -0.03 y_{15} & -1.50 y_{18} & +  2.29 y_{19} & +  0.19 y_{12} & -0.39 y_{21} & -1.35 y_{22} & +  0.60 y_{23} & +  0.93 y_{20} & +  0.35 y_{17} & +  0.01 y_{3} & +  1.74 y_{27} & -1.88 y_{28} & +  1.45 y_{29} & +  0.01 y_{7} & -0.22 y_{16} & +  1.58 y_{32}\\
\hline
z    &  2.03012704174 & -0.52 y_{15} & -42.19 y_{18} & -55.43 y_{19} & -0.27 y_{12} & -51.93 y_{21} & -20.58 y_{22} & -24.84 y_{23} & -6.03 y_{20} & -8.72 y_{17} & -0.41 y_{3} & -33.61 y_{27} & -1.54 y_{28} & -18.70 y_{29} & -0.72 y_{7} & -0.11 y_{16} & -13.14 y_{32}\\
\end{array}\]
Primal Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{15}   &  0.522595281307 & -0.32 x_{1} & +  0.05 x_{2} & +  0.01 x_{26} & +  0.59 x_{4} & +  0.54 x_{5} & -0.05 x_{30} & +  0.06 x_{24} & -0.14 x_{8} & +  0.21 x_{9} & +  0.57 x_{10} & -0.06 x_{11} & -0.70 x_{6} & +  0.39 x_{13} & -0.93 x_{14} & +  0.01 x_{25} & +  0.03 x_{31}\\
 x_{18}   &  42.1918330309 & +  3.87 x_{1} & -20.48 x_{2} & -0.49 x_{26} & +  7.88 x_{4} & -5.45 x_{5} & +  0.03 x_{30} & -1.14 x_{24} & +  4.09 x_{8} & + 12.78 x_{9} & -6.55 x_{10} & -12.30 x_{11} & +  9.57 x_{6} & -6.50 x_{13} & +  4.50 x_{14} & -0.76 x_{25} & +  1.50 x_{31}\\
 x_{19}   &  55.4269509982 & -24.25 x_{1} & + 18.67 x_{2} & -0.68 x_{26} & -12.94 x_{4} & -26.56 x_{5} & -0.67 x_{30} & +  0.96 x_{24} & -1.22 x_{8} & -0.46 x_{9} & -10.42 x_{10} & -5.54 x_{11} & +  1.52 x_{6} & + 18.01 x_{13} & +  1.61 x_{14} & +  0.40 x_{25} & -2.29 x_{31}\\
 x_{12}   &  0.268693284936 & -1.15 x_{1} & +  2.11 x_{2} & -0.02 x_{26} & -1.27 x_{4} & -1.28 x_{5} & -0.05 x_{30} & +  0.13 x_{24} & -0.10 x_{8} & -0.41 x_{9} & -1.39 x_{10} & +  1.01 x_{11} & -1.34 x_{6} & +  2.83 x_{13} & +  0.11 x_{14} & +  0.00 x_{25} & -0.19 x_{31}\\
 x_{21}   &  51.9288566243 & -1.55 x_{1} & -8.53 x_{2} & -0.62 x_{26} & -0.56 x_{4} & -10.33 x_{5} & -0.71 x_{30} & +  0.33 x_{24} & +  1.24 x_{8} & + 15.80 x_{9} & -10.13 x_{10} & -7.57 x_{11} & -11.10 x_{6} & + 10.94 x_{13} & -8.35 x_{14} & -0.51 x_{25} & +  0.39 x_{31}\\
 x_{22}   &  20.5760435572 & + 15.29 x_{1} & -14.70 x_{2} & +  0.64 x_{26} & -1.88 x_{4} & +  6.65 x_{5} & +  1.56 x_{30} & -1.75 x_{24} & -7.78 x_{8} & -12.54 x_{9} & +  7.80 x_{10} & -6.15 x_{11} & + 24.73 x_{6} & -43.11 x_{13} & + 12.74 x_{14} & +  0.73 x_{25} & +  1.35 x_{31}\\
 x_{23}   &  24.8388384755 & +  3.16 x_{1} & +  3.31 x_{2} & +  0.62 x_{26} & -8.49 x_{4} & +  1.97 x_{5} & +  0.48 x_{30} & -0.11 x_{24} & -12.34 x_{8} & +  5.06 x_{9} & +  0.78 x_{10} & + 13.97 x_{11} & -9.49 x_{6} & -1.46 x_{13} & + 18.96 x_{14} & -0.20 x_{25} & -0.60 x_{31}\\
 x_{20}   &  6.02740471869 & -16.68 x_{1} & +  1.65 x_{2} & -0.21 x_{26} & -12.54 x_{4} & -3.59 x_{5} & +  0.05 x_{30} & +  0.69 x_{24} & -2.56 x_{8} & -6.56 x_{9} & -3.22 x_{10} & -0.19 x_{11} & + 12.65 x_{6} & +  4.26 x_{13} & -1.02 x_{14} & +  0.89 x_{25} & -0.93 x_{31}\\
 x_{17}   &  8.72323049002 & -10.86 x_{1} & + 12.45 x_{2} & +  0.23 x_{26} & -8.03 x_{4} & -3.20 x_{5} & -0.18 x_{30} & +  0.68 x_{24} & -9.46 x_{8} & -4.39 x_{9} & +  9.57 x_{10} & +  5.43 x_{11} & -2.27 x_{6} & -0.31 x_{13} & -16.99 x_{14} & +  0.97 x_{25} & -0.35 x_{31}\\
 x_{3}   &  0.411796733212 & +  0.96 x_{1} & +  0.46 x_{2} & +  0.07 x_{26} & -0.58 x_{4} & +  0.75 x_{5} & +  0.07 x_{30} & -0.02 x_{24} & -1.00 x_{8} & -0.84 x_{9} & +  0.73 x_{10} & +  0.10 x_{11} & +  0.71 x_{6} & -0.76 x_{13} & +  0.52 x_{14} & +  0.06 x_{25} & -0.01 x_{31}\\
 x_{27}   &  33.6114337568 & -8.49 x_{1} & + 10.20 x_{2} & -0.03 x_{26} & -20.82 x_{4} & -12.91 x_{5} & +  0.09 x_{30} & +  1.20 x_{24} & -20.65 x_{8} & -9.32 x_{9} & -1.06 x_{10} & + 10.82 x_{11} & -4.28 x_{6} & +  0.68 x_{13} & -4.88 x_{14} & +  1.31 x_{25} & -1.74 x_{31}\\
 x_{28}   &  1.53529945554 & + 21.44 x_{1} & -9.61 x_{2} & +  0.76 x_{26} & + 20.54 x_{4} & + 25.16 x_{5} & +  0.12 x_{30} & -0.50 x_{24} & + 10.91 x_{8} & + 17.04 x_{9} & + 17.83 x_{10} & + 10.41 x_{11} & -12.46 x_{6} & -4.67 x_{13} & -11.95 x_{14} & -0.76 x_{25} & +  1.88 x_{31}\\
 x_{29}   &  18.6957350272 & -12.96 x_{1} & + 19.30 x_{2} & -0.13 x_{26} & -12.51 x_{4} & -8.39 x_{5} & +  0.36 x_{30} & +  0.04 x_{24} & -17.11 x_{8} & -6.52 x_{9} & -11.01 x_{10} & +  0.54 x_{11} & + 14.13 x_{6} & -2.53 x_{13} & + 10.21 x_{14} & +  0.74 x_{25} & -1.45 x_{31}\\
 x_{7}   &  0.717604355717 & -0.50 x_{1} & -0.10 x_{2} & -0.04 x_{26} & -0.29 x_{4} & -0.26 x_{5} & +  0.02 x_{30} & +  0.03 x_{24} & -0.28 x_{8} & -0.31 x_{9} & +  0.33 x_{10} & -0.25 x_{11} & +  0.68 x_{6} & -0.63 x_{13} & -0.43 x_{14} & +  0.05 x_{25} & -0.01 x_{31}\\
 x_{16}   &  0.10943738657 & +  1.37 x_{1} & -2.45 x_{2} & -0.00 x_{26} & +  1.45 x_{4} & +  1.75 x_{5} & +  0.05 x_{30} & -0.12 x_{24} & +  1.34 x_{8} & +  1.07 x_{9} & +  0.51 x_{10} & +  0.12 x_{11} & +  0.72 x_{6} & -2.20 x_{13} & -0.07 x_{14} & -0.11 x_{25} & +  0.22 x_{31}\\
 x_{32}   &  13.142831216 & +  9.11 x_{1} & + 10.14 x_{2} & +  0.69 x_{26} & -6.39 x_{4} & -18.32 x_{5} & +  0.22 x_{30} & +  0.02 x_{24} & -20.20 x_{8} & -14.15 x_{9} & +  3.06 x_{10} & -3.45 x_{11} & +  5.87 x_{6} & -1.80 x_{13} & + 10.96 x_{14} & +  1.05 x_{25} & -1.58 x_{31}\\
\hline
z    &  -2.03012704174 & -1.36 x_{1} & -1.07 x_{2} & -0.02 x_{26} & -0.90 x_{4} & -2.50 x_{5} & -0.04 x_{30} & -0.07 x_{24} & -0.81 x_{8} & -0.72 x_{9} & -1.76 x_{10} & -1.91 x_{11} & -1.06 x_{6} & -0.63 x_{13} & -0.21 x_{14} & -0.01 x_{25} & -0.04 x_{31}\\
\end{array}\]
Primal Dictionary with original objective is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{15}   &  0.522595281307 & -0.32 x_{1} & +  0.05 x_{2} & +  0.01 x_{26} & +  0.59 x_{4} & +  0.54 x_{5} & -0.05 x_{30} & +  0.06 x_{24} & -0.14 x_{8} & +  0.21 x_{9} & +  0.57 x_{10} & -0.06 x_{11} & -0.70 x_{6} & +  0.39 x_{13} & -0.93 x_{14} & +  0.01 x_{25} & +  0.03 x_{31}\\
 x_{18}   &  42.1918330309 & +  3.87 x_{1} & -20.48 x_{2} & -0.49 x_{26} & +  7.88 x_{4} & -5.45 x_{5} & +  0.03 x_{30} & -1.14 x_{24} & +  4.09 x_{8} & + 12.78 x_{9} & -6.55 x_{10} & -12.30 x_{11} & +  9.57 x_{6} & -6.50 x_{13} & +  4.50 x_{14} & -0.76 x_{25} & +  1.50 x_{31}\\
 x_{19}   &  55.4269509982 & -24.25 x_{1} & + 18.67 x_{2} & -0.68 x_{26} & -12.94 x_{4} & -26.56 x_{5} & -0.67 x_{30} & +  0.96 x_{24} & -1.22 x_{8} & -0.46 x_{9} & -10.42 x_{10} & -5.54 x_{11} & +  1.52 x_{6} & + 18.01 x_{13} & +  1.61 x_{14} & +  0.40 x_{25} & -2.29 x_{31}\\
 x_{12}   &  0.268693284936 & -1.15 x_{1} & +  2.11 x_{2} & -0.02 x_{26} & -1.27 x_{4} & -1.28 x_{5} & -0.05 x_{30} & +  0.13 x_{24} & -0.10 x_{8} & -0.41 x_{9} & -1.39 x_{10} & +  1.01 x_{11} & -1.34 x_{6} & +  2.83 x_{13} & +  0.11 x_{14} & +  0.00 x_{25} & -0.19 x_{31}\\
 x_{21}   &  51.9288566243 & -1.55 x_{1} & -8.53 x_{2} & -0.62 x_{26} & -0.56 x_{4} & -10.33 x_{5} & -0.71 x_{30} & +  0.33 x_{24} & +  1.24 x_{8} & + 15.80 x_{9} & -10.13 x_{10} & -7.57 x_{11} & -11.10 x_{6} & + 10.94 x_{13} & -8.35 x_{14} & -0.51 x_{25} & +  0.39 x_{31}\\
 x_{22}   &  20.5760435572 & + 15.29 x_{1} & -14.70 x_{2} & +  0.64 x_{26} & -1.88 x_{4} & +  6.65 x_{5} & +  1.56 x_{30} & -1.75 x_{24} & -7.78 x_{8} & -12.54 x_{9} & +  7.80 x_{10} & -6.15 x_{11} & + 24.73 x_{6} & -43.11 x_{13} & + 12.74 x_{14} & +  0.73 x_{25} & +  1.35 x_{31}\\
 x_{23}   &  24.8388384755 & +  3.16 x_{1} & +  3.31 x_{2} & +  0.62 x_{26} & -8.49 x_{4} & +  1.97 x_{5} & +  0.48 x_{30} & -0.11 x_{24} & -12.34 x_{8} & +  5.06 x_{9} & +  0.78 x_{10} & + 13.97 x_{11} & -9.49 x_{6} & -1.46 x_{13} & + 18.96 x_{14} & -0.20 x_{25} & -0.60 x_{31}\\
 x_{20}   &  6.02740471869 & -16.68 x_{1} & +  1.65 x_{2} & -0.21 x_{26} & -12.54 x_{4} & -3.59 x_{5} & +  0.05 x_{30} & +  0.69 x_{24} & -2.56 x_{8} & -6.56 x_{9} & -3.22 x_{10} & -0.19 x_{11} & + 12.65 x_{6} & +  4.26 x_{13} & -1.02 x_{14} & +  0.89 x_{25} & -0.93 x_{31}\\
 x_{17}   &  8.72323049002 & -10.86 x_{1} & + 12.45 x_{2} & +  0.23 x_{26} & -8.03 x_{4} & -3.20 x_{5} & -0.18 x_{30} & +  0.68 x_{24} & -9.46 x_{8} & -4.39 x_{9} & +  9.57 x_{10} & +  5.43 x_{11} & -2.27 x_{6} & -0.31 x_{13} & -16.99 x_{14} & +  0.97 x_{25} & -0.35 x_{31}\\
 x_{3}   &  0.411796733212 & +  0.96 x_{1} & +  0.46 x_{2} & +  0.07 x_{26} & -0.58 x_{4} & +  0.75 x_{5} & +  0.07 x_{30} & -0.02 x_{24} & -1.00 x_{8} & -0.84 x_{9} & +  0.73 x_{10} & +  0.10 x_{11} & +  0.71 x_{6} & -0.76 x_{13} & +  0.52 x_{14} & +  0.06 x_{25} & -0.01 x_{31}\\
 x_{27}   &  33.6114337568 & -8.49 x_{1} & + 10.20 x_{2} & -0.03 x_{26} & -20.82 x_{4} & -12.91 x_{5} & +  0.09 x_{30} & +  1.20 x_{24} & -20.65 x_{8} & -9.32 x_{9} & -1.06 x_{10} & + 10.82 x_{11} & -4.28 x_{6} & +  0.68 x_{13} & -4.88 x_{14} & +  1.31 x_{25} & -1.74 x_{31}\\
 x_{28}   &  1.53529945554 & + 21.44 x_{1} & -9.61 x_{2} & +  0.76 x_{26} & + 20.54 x_{4} & + 25.16 x_{5} & +  0.12 x_{30} & -0.50 x_{24} & + 10.91 x_{8} & + 17.04 x_{9} & + 17.83 x_{10} & + 10.41 x_{11} & -12.46 x_{6} & -4.67 x_{13} & -11.95 x_{14} & -0.76 x_{25} & +  1.88 x_{31}\\
 x_{29}   &  18.6957350272 & -12.96 x_{1} & + 19.30 x_{2} & -0.13 x_{26} & -12.51 x_{4} & -8.39 x_{5} & +  0.36 x_{30} & +  0.04 x_{24} & -17.11 x_{8} & -6.52 x_{9} & -11.01 x_{10} & +  0.54 x_{11} & + 14.13 x_{6} & -2.53 x_{13} & + 10.21 x_{14} & +  0.74 x_{25} & -1.45 x_{31}\\
 x_{7}   &  0.717604355717 & -0.50 x_{1} & -0.10 x_{2} & -0.04 x_{26} & -0.29 x_{4} & -0.26 x_{5} & +  0.02 x_{30} & +  0.03 x_{24} & -0.28 x_{8} & -0.31 x_{9} & +  0.33 x_{10} & -0.25 x_{11} & +  0.68 x_{6} & -0.63 x_{13} & -0.43 x_{14} & +  0.05 x_{25} & -0.01 x_{31}\\
 x_{16}   &  0.10943738657 & +  1.37 x_{1} & -2.45 x_{2} & -0.00 x_{26} & +  1.45 x_{4} & +  1.75 x_{5} & +  0.05 x_{30} & -0.12 x_{24} & +  1.34 x_{8} & +  1.07 x_{9} & +  0.51 x_{10} & +  0.12 x_{11} & +  0.72 x_{6} & -2.20 x_{13} & -0.07 x_{14} & -0.11 x_{25} & +  0.22 x_{31}\\
 x_{32}   &  13.142831216 & +  9.11 x_{1} & + 10.14 x_{2} & +  0.69 x_{26} & -6.39 x_{4} & -18.32 x_{5} & +  0.22 x_{30} & +  0.02 x_{24} & -20.20 x_{8} & -14.15 x_{9} & +  3.06 x_{10} & -3.45 x_{11} & +  5.87 x_{6} & -1.80 x_{13} & + 10.96 x_{14} & +  1.05 x_{25} & -1.58 x_{31}\\
\hline
z    &  1.56433756806 & +  1.11 x_{1} & -1.38 x_{2} & +  0.21 x_{26} & +  1.46 x_{4} & -0.38 x_{5} & -0.10 x_{30} & +  0.22 x_{24} & +  1.51 x_{8} & +  3.18 x_{9} & +  0.34 x_{10} & +  3.15 x_{11} & -4.09 x_{6} & +  1.48 x_{13} & -5.23 x_{14} & +  0.21 x_{25} & -0.14 x_{31}\\
\end{array}\]
\section{Optimization Phase Simplex}
Starting Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{15}   &  0.522595281307 & -0.32 x_{1} & +  0.05 x_{2} & +  0.01 x_{26} & +  0.59 x_{4} & +  0.54 x_{5} & -0.05 x_{30} & +  0.06 x_{24} & -0.14 x_{8} & +  0.21 x_{9} & +  0.57 x_{10} & -0.06 x_{11} & -0.70 x_{6} & +  0.39 x_{13} & -0.93 x_{14} & +  0.01 x_{25} & +  0.03 x_{31}\\
 x_{18}   &  42.1918330309 & +  3.87 x_{1} & -20.48 x_{2} & -0.49 x_{26} & +  7.88 x_{4} & -5.45 x_{5} & +  0.03 x_{30} & -1.14 x_{24} & +  4.09 x_{8} & + 12.78 x_{9} & -6.55 x_{10} & -12.30 x_{11} & +  9.57 x_{6} & -6.50 x_{13} & +  4.50 x_{14} & -0.76 x_{25} & +  1.50 x_{31}\\
 x_{19}   &  55.4269509982 & -24.25 x_{1} & + 18.67 x_{2} & -0.68 x_{26} & -12.94 x_{4} & -26.56 x_{5} & -0.67 x_{30} & +  0.96 x_{24} & -1.22 x_{8} & -0.46 x_{9} & -10.42 x_{10} & -5.54 x_{11} & +  1.52 x_{6} & + 18.01 x_{13} & +  1.61 x_{14} & +  0.40 x_{25} & -2.29 x_{31}\\
 x_{12}   &  0.268693284936 & -1.15 x_{1} & +  2.11 x_{2} & -0.02 x_{26} & -1.27 x_{4} & -1.28 x_{5} & -0.05 x_{30} & +  0.13 x_{24} & -0.10 x_{8} & -0.41 x_{9} & -1.39 x_{10} & +  1.01 x_{11} & -1.34 x_{6} & +  2.83 x_{13} & +  0.11 x_{14} & +  0.00 x_{25} & -0.19 x_{31}\\
 x_{21}   &  51.9288566243 & -1.55 x_{1} & -8.53 x_{2} & -0.62 x_{26} & -0.56 x_{4} & -10.33 x_{5} & -0.71 x_{30} & +  0.33 x_{24} & +  1.24 x_{8} & + 15.80 x_{9} & -10.13 x_{10} & -7.57 x_{11} & -11.10 x_{6} & + 10.94 x_{13} & -8.35 x_{14} & -0.51 x_{25} & +  0.39 x_{31}\\
 x_{22}   &  20.5760435572 & + 15.29 x_{1} & -14.70 x_{2} & +  0.64 x_{26} & -1.88 x_{4} & +  6.65 x_{5} & +  1.56 x_{30} & -1.75 x_{24} & -7.78 x_{8} & -12.54 x_{9} & +  7.80 x_{10} & -6.15 x_{11} & + 24.73 x_{6} & -43.11 x_{13} & + 12.74 x_{14} & +  0.73 x_{25} & +  1.35 x_{31}\\
 x_{23}   &  24.8388384755 & +  3.16 x_{1} & +  3.31 x_{2} & +  0.62 x_{26} & -8.49 x_{4} & +  1.97 x_{5} & +  0.48 x_{30} & -0.11 x_{24} & -12.34 x_{8} & +  5.06 x_{9} & +  0.78 x_{10} & + 13.97 x_{11} & -9.49 x_{6} & -1.46 x_{13} & + 18.96 x_{14} & -0.20 x_{25} & -0.60 x_{31}\\
 x_{20}   &  6.02740471869 & -16.68 x_{1} & +  1.65 x_{2} & -0.21 x_{26} & -12.54 x_{4} & -3.59 x_{5} & +  0.05 x_{30} & +  0.69 x_{24} & -2.56 x_{8} & -6.56 x_{9} & -3.22 x_{10} & -0.19 x_{11} & + 12.65 x_{6} & +  4.26 x_{13} & -1.02 x_{14} & +  0.89 x_{25} & -0.93 x_{31}\\
 x_{17}   &  8.72323049002 & -10.86 x_{1} & + 12.45 x_{2} & +  0.23 x_{26} & -8.03 x_{4} & -3.20 x_{5} & -0.18 x_{30} & +  0.68 x_{24} & -9.46 x_{8} & -4.39 x_{9} & +  9.57 x_{10} & +  5.43 x_{11} & -2.27 x_{6} & -0.31 x_{13} & -16.99 x_{14} & +  0.97 x_{25} & -0.35 x_{31}\\
 x_{3}   &  0.411796733212 & +  0.96 x_{1} & +  0.46 x_{2} & +  0.07 x_{26} & -0.58 x_{4} & +  0.75 x_{5} & +  0.07 x_{30} & -0.02 x_{24} & -1.00 x_{8} & -0.84 x_{9} & +  0.73 x_{10} & +  0.10 x_{11} & +  0.71 x_{6} & -0.76 x_{13} & +  0.52 x_{14} & +  0.06 x_{25} & -0.01 x_{31}\\
 x_{27}   &  33.6114337568 & -8.49 x_{1} & + 10.20 x_{2} & -0.03 x_{26} & -20.82 x_{4} & -12.91 x_{5} & +  0.09 x_{30} & +  1.20 x_{24} & -20.65 x_{8} & -9.32 x_{9} & -1.06 x_{10} & + 10.82 x_{11} & -4.28 x_{6} & +  0.68 x_{13} & -4.88 x_{14} & +  1.31 x_{25} & -1.74 x_{31}\\
 x_{28}   &  1.53529945554 & + 21.44 x_{1} & -9.61 x_{2} & +  0.76 x_{26} & + 20.54 x_{4} & + 25.16 x_{5} & +  0.12 x_{30} & -0.50 x_{24} & + 10.91 x_{8} & + 17.04 x_{9} & + 17.83 x_{10} & + 10.41 x_{11} & -12.46 x_{6} & -4.67 x_{13} & -11.95 x_{14} & -0.76 x_{25} & +  1.88 x_{31}\\
 x_{29}   &  18.6957350272 & -12.96 x_{1} & + 19.30 x_{2} & -0.13 x_{26} & -12.51 x_{4} & -8.39 x_{5} & +  0.36 x_{30} & +  0.04 x_{24} & -17.11 x_{8} & -6.52 x_{9} & -11.01 x_{10} & +  0.54 x_{11} & + 14.13 x_{6} & -2.53 x_{13} & + 10.21 x_{14} & +  0.74 x_{25} & -1.45 x_{31}\\
 x_{7}   &  0.717604355717 & -0.50 x_{1} & -0.10 x_{2} & -0.04 x_{26} & -0.29 x_{4} & -0.26 x_{5} & +  0.02 x_{30} & +  0.03 x_{24} & -0.28 x_{8} & -0.31 x_{9} & +  0.33 x_{10} & -0.25 x_{11} & +  0.68 x_{6} & -0.63 x_{13} & -0.43 x_{14} & +  0.05 x_{25} & -0.01 x_{31}\\
 x_{16}   &  0.10943738657 & +  1.37 x_{1} & -2.45 x_{2} & -0.00 x_{26} & +  1.45 x_{4} & +  1.75 x_{5} & +  0.05 x_{30} & -0.12 x_{24} & +  1.34 x_{8} & +  1.07 x_{9} & +  0.51 x_{10} & +  0.12 x_{11} & +  0.72 x_{6} & -2.20 x_{13} & -0.07 x_{14} & -0.11 x_{25} & +  0.22 x_{31}\\
 x_{32}   &  13.142831216 & +  9.11 x_{1} & + 10.14 x_{2} & +  0.69 x_{26} & -6.39 x_{4} & -18.32 x_{5} & +  0.22 x_{30} & +  0.02 x_{24} & -20.20 x_{8} & -14.15 x_{9} & +  3.06 x_{10} & -3.45 x_{11} & +  5.87 x_{6} & -1.80 x_{13} & + 10.96 x_{14} & +  1.05 x_{25} & -1.58 x_{31}\\
\hline
z    &  1.56433756806 & +  1.11 x_{1} & -1.38 x_{2} & +  0.21 x_{26} & +  1.46 x_{4} & -0.38 x_{5} & -0.10 x_{30} & +  0.22 x_{24} & +  1.51 x_{8} & +  3.18 x_{9} & +  0.34 x_{10} & +  3.15 x_{11} & -4.09 x_{6} & +  1.48 x_{13} & -5.23 x_{14} & +  0.21 x_{25} & -0.14 x_{31}\\
\end{array}\]


 $ x_{1} $ enters and $ x_{12} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{15}   &  0.449187205034 & +  0.27 x_{12} & -0.52 x_{2} & +  0.02 x_{26} & +  0.94 x_{4} & +  0.89 x_{5} & -0.04 x_{30} & +  0.02 x_{24} & -0.11 x_{8} & +  0.32 x_{9} & +  0.95 x_{10} & -0.34 x_{11} & -0.34 x_{6} & -0.39 x_{13} & -0.96 x_{14} & +  0.01 x_{25} & +  0.08 x_{31}\\
 x_{18}   &  43.093864709 & -3.36 x_{12} & -13.41 x_{2} & -0.55 x_{26} & +  3.62 x_{4} & -9.74 x_{5} & -0.13 x_{30} & -0.71 x_{24} & +  3.75 x_{8} & + 11.39 x_{9} & -11.22 x_{10} & -8.92 x_{11} & +  5.07 x_{6} & +  3.01 x_{13} & +  4.87 x_{14} & -0.76 x_{25} & +  0.86 x_{31}\\
 x_{19}   &  49.7796014683 & + 21.02 x_{12} & -25.63 x_{2} & -0.32 x_{26} & + 13.72 x_{4} & +  0.29 x_{5} & +  0.35 x_{30} & -1.72 x_{24} & +  0.96 x_{8} & +  8.26 x_{9} & + 18.78 x_{10} & -26.73 x_{11} & + 29.68 x_{6} & -41.54 x_{13} & -0.72 x_{14} & +  0.37 x_{25} & +  1.72 x_{31}\\
 x_{1}   &  0.232905086523 & -0.87 x_{12} & +  1.83 x_{2} & -0.01 x_{26} & -1.10 x_{4} & -1.11 x_{5} & -0.04 x_{30} & +  0.11 x_{24} & -0.09 x_{8} & -0.36 x_{9} & -1.20 x_{10} & +  0.87 x_{11} & -1.16 x_{6} & +  2.46 x_{13} & +  0.10 x_{14} & +  0.00 x_{25} & -0.17 x_{31}\\
 x_{21}   &  51.5675930781 & +  1.34 x_{12} & -11.36 x_{2} & -0.60 x_{26} & +  1.14 x_{4} & -8.61 x_{5} & -0.64 x_{30} & +  0.16 x_{24} & +  1.38 x_{8} & + 16.36 x_{9} & -8.26 x_{10} & -8.92 x_{11} & -9.29 x_{6} & +  7.13 x_{13} & -8.50 x_{14} & -0.51 x_{25} & +  0.64 x_{31}\\
 x_{22}   &  24.1380964866 & -13.26 x_{12} & + 13.24 x_{2} & +  0.41 x_{26} & -18.69 x_{4} & -10.28 x_{5} & +  0.92 x_{30} & -0.06 x_{24} & -9.15 x_{8} & -18.04 x_{9} & -10.61 x_{10} & +  7.21 x_{11} & +  6.97 x_{6} & -5.55 x_{13} & + 14.22 x_{14} & +  0.75 x_{25} & -1.18 x_{31}\\
 x_{23}   &  25.5747509177 & -2.74 x_{12} & +  9.08 x_{2} & +  0.57 x_{26} & -11.96 x_{4} & -1.53 x_{5} & +  0.34 x_{30} & +  0.24 x_{24} & -12.63 x_{8} & +  3.93 x_{9} & -3.03 x_{10} & + 16.73 x_{11} & -13.16 x_{6} & +  6.30 x_{13} & + 19.26 x_{14} & -0.19 x_{25} & -1.12 x_{31}\\
 x_{20}   &  2.14142632407 & + 14.46 x_{12} & -28.84 x_{2} & +  0.04 x_{26} & +  5.80 x_{4} & + 14.89 x_{5} & +  0.75 x_{30} & -1.15 x_{24} & -1.06 x_{8} & -0.56 x_{9} & + 16.87 x_{10} & -14.77 x_{11} & + 32.03 x_{6} & -36.72 x_{13} & -2.63 x_{14} & +  0.87 x_{25} & +  1.83 x_{31}\\
 x_{17}   &  6.19368117462 & +  9.41 x_{12} & -7.39 x_{2} & +  0.40 x_{26} & +  3.91 x_{4} & +  8.83 x_{5} & +  0.28 x_{30} & -0.52 x_{24} & -8.48 x_{8} & -0.48 x_{9} & + 22.65 x_{10} & -4.07 x_{11} & + 10.34 x_{6} & -26.99 x_{13} & -18.04 x_{14} & +  0.96 x_{25} & +  1.45 x_{31}\\
 x_{3}   &  0.635684320923 & -0.83 x_{12} & +  2.21 x_{2} & +  0.05 x_{26} & -1.64 x_{4} & -0.32 x_{5} & +  0.03 x_{30} & +  0.09 x_{24} & -1.09 x_{8} & -1.18 x_{9} & -0.42 x_{10} & +  0.94 x_{11} & -0.41 x_{6} & +  1.60 x_{13} & +  0.62 x_{14} & +  0.06 x_{25} & -0.17 x_{31}\\
 x_{27}   &  31.6343471421 & +  7.36 x_{12} & -5.31 x_{2} & +  0.10 x_{26} & -11.48 x_{4} & -3.51 x_{5} & +  0.45 x_{30} & +  0.26 x_{24} & -19.89 x_{8} & -6.27 x_{9} & +  9.16 x_{10} & +  3.40 x_{11} & +  5.58 x_{6} & -20.17 x_{13} & -5.70 x_{14} & +  1.30 x_{25} & -0.33 x_{31}\\
 x_{28}   &  6.52831672784 & -18.58 x_{12} & + 29.55 x_{2} & +  0.43 x_{26} & -3.03 x_{4} & +  1.42 x_{5} & -0.78 x_{30} & +  1.87 x_{24} & +  8.99 x_{8} & +  9.33 x_{9} & -7.98 x_{10} & + 29.14 x_{11} & -37.36 x_{6} & + 47.98 x_{13} & -9.88 x_{14} & -0.73 x_{25} & -1.67 x_{31}\\
 x_{29}   &  15.6783953854 & + 11.23 x_{12} & -4.37 x_{2} & +  0.07 x_{26} & +  1.73 x_{4} & +  5.96 x_{5} & +  0.90 x_{30} & -1.39 x_{24} & -15.95 x_{8} & -1.86 x_{9} & +  4.59 x_{10} & -10.78 x_{11} & + 29.17 x_{6} & -34.35 x_{13} & +  8.96 x_{14} & +  0.72 x_{25} & +  0.70 x_{31}\\
 x_{7}   &  0.600235972732 & +  0.44 x_{12} & -1.02 x_{2} & -0.04 x_{26} & +  0.26 x_{4} & +  0.30 x_{5} & +  0.04 x_{30} & -0.03 x_{24} & -0.24 x_{8} & -0.13 x_{9} & +  0.94 x_{10} & -0.69 x_{11} & +  1.27 x_{6} & -1.87 x_{13} & -0.48 x_{14} & +  0.05 x_{25} & +  0.07 x_{31}\\
 x_{16}   &  0.428290508652 & -1.19 x_{12} & +  0.05 x_{2} & -0.02 x_{26} & -0.05 x_{4} & +  0.23 x_{5} & -0.00 x_{30} & +  0.04 x_{24} & +  1.22 x_{8} & +  0.58 x_{9} & -1.14 x_{10} & +  1.31 x_{11} & -0.87 x_{6} & +  1.16 x_{13} & +  0.06 x_{14} & -0.11 x_{25} & -0.01 x_{31}\\
 x_{32}   &  15.2647614053 & -7.90 x_{12} & + 26.78 x_{2} & +  0.56 x_{26} & -16.40 x_{4} & -28.41 x_{5} & -0.17 x_{30} & +  1.02 x_{24} & -21.02 x_{8} & -17.42 x_{9} & -7.91 x_{10} & +  4.51 x_{11} & -4.71 x_{6} & + 20.58 x_{13} & + 11.83 x_{14} & +  1.06 x_{25} & -3.09 x_{31}\\
\hline
z    &  1.82330886209 & -0.96 x_{12} & +  0.65 x_{2} & +  0.20 x_{26} & +  0.24 x_{4} & -1.61 x_{5} & -0.15 x_{30} & +  0.34 x_{24} & +  1.41 x_{8} & +  2.78 x_{9} & -1.00 x_{10} & +  4.12 x_{11} & -5.39 x_{6} & +  4.21 x_{13} & -5.12 x_{14} & +  0.21 x_{25} & -0.32 x_{31}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{20} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{15}   &  0.410510499225 & +  0.01 x_{12} & +  0.02 x_{20} & +  0.02 x_{26} & +  0.83 x_{4} & +  0.62 x_{5} & -0.05 x_{30} & +  0.04 x_{24} & -0.09 x_{8} & +  0.33 x_{9} & +  0.65 x_{10} & -0.07 x_{11} & -0.92 x_{6} & +  0.28 x_{13} & -0.91 x_{14} & -0.01 x_{25} & +  0.05 x_{31}\\
 x_{18}   &  42.0981582412 & -10.08 x_{12} & +  0.46 x_{20} & -0.57 x_{26} & +  0.92 x_{4} & -16.67 x_{5} & -0.48 x_{30} & -0.18 x_{24} & +  4.24 x_{8} & + 11.65 x_{9} & -19.06 x_{10} & -2.05 x_{11} & -9.82 x_{6} & + 20.08 x_{13} & +  6.09 x_{14} & -1.16 x_{25} & +  0.00 x_{31}\\
 x_{19}   &  47.8766628926 & +  8.17 x_{12} & +  0.89 x_{20} & -0.35 x_{26} & +  8.56 x_{4} & -12.94 x_{5} & -0.32 x_{30} & -0.69 x_{24} & +  1.90 x_{8} & +  8.76 x_{9} & +  3.79 x_{10} & -13.60 x_{11} & +  1.21 x_{6} & -8.91 x_{13} & +  1.62 x_{14} & -0.40 x_{25} & +  0.09 x_{31}\\
 x_{1}   &  0.368572088377 & +  0.05 x_{12} & -0.06 x_{20} & -0.01 x_{26} & -0.73 x_{4} & -0.16 x_{5} & +  0.01 x_{30} & +  0.04 x_{24} & -0.16 x_{8} & -0.39 x_{9} & -0.14 x_{10} & -0.06 x_{11} & +  0.87 x_{6} & +  0.13 x_{13} & -0.07 x_{14} & +  0.06 x_{25} & -0.05 x_{31}\\
 x_{21}   &  50.7240052951 & -4.35 x_{12} & +  0.39 x_{20} & -0.61 x_{26} & -1.14 x_{4} & -14.48 x_{5} & -0.94 x_{30} & +  0.61 x_{24} & +  1.80 x_{8} & + 16.58 x_{9} & -14.91 x_{10} & -3.10 x_{11} & -21.91 x_{6} & + 21.59 x_{13} & -7.47 x_{14} & -0.85 x_{25} & -0.08 x_{31}\\
 x_{22}   &  25.1212347773 & -6.62 x_{12} & -0.46 x_{20} & +  0.43 x_{26} & -16.03 x_{4} & -3.45 x_{5} & +  1.26 x_{30} & -0.58 x_{24} & -9.63 x_{8} & -18.30 x_{9} & -2.87 x_{10} & +  0.43 x_{11} & + 21.68 x_{6} & -22.40 x_{13} & + 13.01 x_{14} & +  1.15 x_{25} & -0.34 x_{31}\\
 x_{23}   &  26.2492517438 & +  1.82 x_{12} & -0.31 x_{20} & +  0.59 x_{26} & -10.14 x_{4} & +  3.16 x_{5} & +  0.58 x_{30} & -0.12 x_{24} & -12.96 x_{8} & +  3.75 x_{9} & +  2.29 x_{10} & + 12.08 x_{11} & -3.08 x_{6} & -5.26 x_{13} & + 18.43 x_{14} & +  0.08 x_{25} & -0.55 x_{31}\\
 x_{2}   &  0.0742564715523 & +  0.50 x_{12} & -0.03 x_{20} & +  0.00 x_{26} & +  0.20 x_{4} & +  0.52 x_{5} & +  0.03 x_{30} & -0.04 x_{24} & -0.04 x_{8} & -0.02 x_{9} & +  0.58 x_{10} & -0.51 x_{11} & +  1.11 x_{6} & -1.27 x_{13} & -0.09 x_{14} & +  0.03 x_{25} & +  0.06 x_{31}\\
 x_{17}   &  5.64508017767 & +  5.71 x_{12} & +  0.26 x_{20} & +  0.39 x_{26} & +  2.43 x_{4} & +  5.02 x_{5} & +  0.09 x_{30} & -0.23 x_{24} & -8.21 x_{8} & -0.34 x_{9} & + 18.33 x_{10} & -0.28 x_{11} & +  2.13 x_{6} & -17.58 x_{13} & -17.37 x_{14} & +  0.73 x_{25} & +  0.98 x_{31}\\
 x_{3}   &  0.799961026429 & +  0.28 x_{12} & -0.08 x_{20} & +  0.05 x_{26} & -1.19 x_{4} & +  0.82 x_{5} & +  0.08 x_{30} & -0.00 x_{24} & -1.17 x_{8} & -1.22 x_{9} & +  0.87 x_{10} & -0.19 x_{11} & +  2.05 x_{6} & -1.22 x_{13} & +  0.42 x_{14} & +  0.13 x_{25} & -0.03 x_{31}\\
 x_{27}   &  31.2400311304 & +  4.70 x_{12} & +  0.18 x_{20} & +  0.09 x_{26} & -12.55 x_{4} & -6.25 x_{5} & +  0.31 x_{30} & +  0.47 x_{24} & -19.70 x_{8} & -6.16 x_{9} & +  6.05 x_{10} & +  6.12 x_{11} & -0.32 x_{6} & -13.41 x_{13} & -5.22 x_{14} & +  1.14 x_{25} & -0.67 x_{31}\\
 x_{28}   &  8.72292579384 & -3.76 x_{12} & -1.02 x_{20} & +  0.47 x_{26} & +  2.91 x_{4} & + 16.68 x_{5} & -0.01 x_{30} & +  0.69 x_{24} & +  7.90 x_{8} & +  8.76 x_{9} & +  9.31 x_{10} & + 14.01 x_{11} & -4.53 x_{6} & + 10.35 x_{13} & -12.58 x_{14} & +  0.16 x_{25} & +  0.21 x_{31}\\
 x_{29}   &  15.353624239 & +  9.04 x_{12} & +  0.15 x_{20} & +  0.06 x_{26} & +  0.85 x_{4} & +  3.70 x_{5} & +  0.79 x_{30} & -1.22 x_{24} & -15.79 x_{8} & -1.78 x_{9} & +  2.03 x_{10} & -8.54 x_{11} & + 24.31 x_{6} & -28.78 x_{13} & +  9.36 x_{14} & +  0.59 x_{25} & +  0.42 x_{31}\\
 x_{7}   &  0.524672452292 & -0.07 x_{12} & +  0.04 x_{20} & -0.04 x_{26} & +  0.05 x_{4} & -0.23 x_{5} & +  0.02 x_{30} & +  0.01 x_{24} & -0.20 x_{8} & -0.11 x_{9} & +  0.35 x_{10} & -0.17 x_{11} & +  0.13 x_{6} & -0.57 x_{13} & -0.39 x_{14} & +  0.02 x_{25} & +  0.01 x_{31}\\
 x_{16}   &  0.432203867536 & -1.16 x_{12} & -0.00 x_{20} & -0.02 x_{26} & -0.04 x_{4} & +  0.26 x_{5} & -0.00 x_{30} & +  0.03 x_{24} & +  1.22 x_{8} & +  0.58 x_{9} & -1.10 x_{10} & +  1.29 x_{11} & -0.81 x_{6} & +  1.09 x_{13} & +  0.06 x_{14} & -0.11 x_{25} & -0.00 x_{31}\\
 x_{32}   &  17.2536536965 & +  5.54 x_{12} & -0.93 x_{20} & +  0.59 x_{26} & -11.02 x_{4} & -14.58 x_{5} & +  0.53 x_{30} & -0.05 x_{24} & -22.01 x_{8} & -17.94 x_{9} & +  7.75 x_{10} & -9.20 x_{11} & + 25.04 x_{6} & -13.52 x_{13} & +  9.39 x_{14} & +  1.86 x_{25} & -1.39 x_{31}\\
\hline
z    &  1.87186696132 & -0.64 x_{12} & -0.02 x_{20} & +  0.20 x_{26} & +  0.37 x_{4} & -1.27 x_{5} & -0.13 x_{30} & +  0.32 x_{24} & +  1.38 x_{8} & +  2.77 x_{9} & -0.62 x_{10} & +  3.78 x_{11} & -4.66 x_{6} & +  3.38 x_{13} & -5.18 x_{14} & +  0.23 x_{25} & -0.28 x_{31}\\
\end{array}\]


 $ x_{4} $ enters and $ x_{1} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{15}   &  0.830026143071 & +  0.07 x_{12} & -0.05 x_{20} & +  0.00 x_{26} & -1.14 x_{1} & +  0.43 x_{5} & -0.05 x_{30} & +  0.08 x_{24} & -0.27 x_{8} & -0.12 x_{9} & +  0.49 x_{10} & -0.14 x_{11} & +  0.07 x_{6} & +  0.43 x_{13} & -0.99 x_{14} & +  0.06 x_{25} & -0.01 x_{31}\\
 x_{18}   &  42.5632098705 & -10.02 x_{12} & +  0.39 x_{20} & -0.58 x_{26} & -1.26 x_{1} & -16.87 x_{5} & -0.47 x_{30} & -0.13 x_{24} & +  4.04 x_{8} & + 11.15 x_{9} & -19.23 x_{10} & -2.13 x_{11} & -8.72 x_{6} & + 20.24 x_{13} & +  6.01 x_{14} & -1.09 x_{25} & -0.06 x_{31}\\
 x_{19}   &  52.1896786841 & +  8.74 x_{12} & +  0.15 x_{20} & -0.50 x_{26} & -11.70 x_{1} & -14.86 x_{5} & -0.25 x_{30} & -0.25 x_{24} & +  0.06 x_{8} & +  4.14 x_{9} & +  2.20 x_{10} & -14.33 x_{11} & + 11.37 x_{6} & -7.39 x_{13} & +  0.79 x_{14} & +  0.26 x_{25} & -0.48 x_{31}\\
 x_{4}   &  0.503632822578 & +  0.07 x_{12} & -0.09 x_{20} & -0.02 x_{26} & -1.37 x_{1} & -0.22 x_{5} & +  0.01 x_{30} & +  0.05 x_{24} & -0.21 x_{8} & -0.54 x_{9} & -0.19 x_{10} & -0.08 x_{11} & +  1.19 x_{6} & +  0.18 x_{13} & -0.10 x_{14} & +  0.08 x_{25} & -0.07 x_{31}\\
 x_{21}   &  50.1490784495 & -4.43 x_{12} & +  0.49 x_{20} & -0.60 x_{26} & +  1.56 x_{1} & -14.22 x_{5} & -0.95 x_{30} & +  0.55 x_{24} & +  2.04 x_{8} & + 17.19 x_{9} & -14.70 x_{10} & -3.01 x_{11} & -23.27 x_{6} & + 21.39 x_{13} & -7.36 x_{14} & -0.94 x_{25} & -0.00 x_{31}\\
 x_{22}   &  17.0490295425 & -7.70 x_{12} & +  0.93 x_{20} & +  0.70 x_{26} & + 21.90 x_{1} & +  0.15 x_{5} & +  1.14 x_{30} & -1.41 x_{24} & -6.20 x_{8} & -9.65 x_{9} & +  0.10 x_{10} & +  1.78 x_{11} & +  2.67 x_{6} & -25.25 x_{13} & + 14.55 x_{14} & -0.08 x_{25} & +  0.75 x_{31}\\
 x_{23}   &  21.1440448834 & +  1.13 x_{12} & +  0.56 x_{20} & +  0.76 x_{26} & + 13.85 x_{1} & +  5.43 x_{5} & +  0.50 x_{30} & -0.64 x_{24} & -10.79 x_{8} & +  9.22 x_{9} & +  4.16 x_{10} & + 12.93 x_{11} & -15.10 x_{6} & -7.06 x_{13} & + 19.41 x_{14} & -0.70 x_{25} & +  0.14 x_{31}\\
 x_{2}   &  0.175551984045 & +  0.52 x_{12} & -0.05 x_{20} & -0.00 x_{26} & -0.27 x_{1} & +  0.47 x_{5} & +  0.03 x_{30} & -0.03 x_{24} & -0.08 x_{8} & -0.13 x_{9} & +  0.55 x_{10} & -0.53 x_{11} & +  1.35 x_{6} & -1.24 x_{13} & -0.11 x_{14} & +  0.05 x_{25} & +  0.05 x_{31}\\
 x_{17}   &  6.86648812795 & +  5.87 x_{12} & +  0.05 x_{20} & +  0.34 x_{26} & -3.31 x_{1} & +  4.47 x_{5} & +  0.11 x_{30} & -0.10 x_{24} & -8.73 x_{8} & -1.65 x_{9} & + 17.88 x_{10} & -0.49 x_{11} & +  5.01 x_{6} & -17.15 x_{13} & -17.60 x_{14} & +  0.92 x_{25} & +  0.82 x_{31}\\
 x_{3}   &  0.200183535704 & +  0.20 x_{12} & +  0.03 x_{20} & +  0.07 x_{26} & +  1.63 x_{1} & +  1.09 x_{5} & +  0.07 x_{30} & -0.06 x_{24} & -0.92 x_{8} & -0.58 x_{9} & +  1.09 x_{10} & -0.09 x_{11} & +  0.64 x_{6} & -1.43 x_{13} & +  0.53 x_{14} & +  0.04 x_{25} & +  0.05 x_{31}\\
 x_{27}   &  24.9184189592 & +  3.85 x_{12} & +  1.27 x_{20} & +  0.31 x_{26} & + 17.15 x_{1} & -3.43 x_{5} & +  0.21 x_{30} & -0.18 x_{24} & -17.00 x_{8} & +  0.61 x_{9} & +  8.37 x_{10} & +  7.18 x_{11} & -15.21 x_{6} & -15.64 x_{13} & -4.01 x_{14} & +  0.17 x_{25} & +  0.18 x_{31}\\
 x_{28}   &  10.1907508275 & -3.56 x_{12} & -1.28 x_{20} & +  0.42 x_{26} & -3.98 x_{1} & + 16.02 x_{5} & +  0.02 x_{30} & +  0.84 x_{24} & +  7.27 x_{8} & +  7.19 x_{9} & +  8.77 x_{10} & + 13.76 x_{11} & -1.08 x_{6} & + 10.87 x_{13} & -12.86 x_{14} & +  0.39 x_{25} & +  0.01 x_{31}\\
 x_{29}   &  15.7813303771 & +  9.09 x_{12} & +  0.08 x_{20} & +  0.05 x_{26} & -1.16 x_{1} & +  3.51 x_{5} & +  0.80 x_{30} & -1.18 x_{24} & -15.97 x_{8} & -2.23 x_{9} & +  1.88 x_{10} & -8.61 x_{11} & + 25.32 x_{6} & -28.63 x_{13} & +  9.28 x_{14} & +  0.66 x_{25} & +  0.36 x_{31}\\
 x_{7}   &  0.552273511267 & -0.07 x_{12} & +  0.03 x_{20} & -0.04 x_{26} & -0.07 x_{1} & -0.24 x_{5} & +  0.02 x_{30} & +  0.01 x_{24} & -0.21 x_{8} & -0.14 x_{9} & +  0.33 x_{10} & -0.17 x_{11} & +  0.20 x_{6} & -0.56 x_{13} & -0.39 x_{14} & +  0.03 x_{25} & +  0.00 x_{31}\\
 x_{16}   &  0.409878047316 & -1.16 x_{12} & +  0.00 x_{20} & -0.02 x_{26} & +  0.06 x_{1} & +  0.27 x_{5} & -0.00 x_{30} & +  0.03 x_{24} & +  1.23 x_{8} & +  0.60 x_{9} & -1.10 x_{10} & +  1.29 x_{11} & -0.87 x_{6} & +  1.09 x_{13} & +  0.06 x_{14} & -0.11 x_{25} & -0.00 x_{31}\\
 x_{32}   &  11.705344028 & +  4.79 x_{12} & +  0.02 x_{20} & +  0.78 x_{26} & + 15.05 x_{1} & -12.11 x_{5} & +  0.45 x_{30} & -0.61 x_{24} & -19.64 x_{8} & -12.00 x_{9} & +  9.79 x_{10} & -8.27 x_{11} & + 11.98 x_{6} & -15.48 x_{13} & + 10.45 x_{14} & +  1.02 x_{25} & -0.64 x_{31}\\
\hline
z    &  2.05779966697 & -0.61 x_{12} & -0.05 x_{20} & +  0.19 x_{26} & -0.50 x_{1} & -1.36 x_{5} & -0.13 x_{30} & +  0.33 x_{24} & +  1.30 x_{8} & +  2.57 x_{9} & -0.69 x_{10} & +  3.75 x_{11} & -4.22 x_{6} & +  3.44 x_{13} & -5.22 x_{14} & +  0.26 x_{25} & -0.31 x_{31}\\
\end{array}\]


 $ x_{8} $ enters and $ x_{3} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{15}   &  0.770285663639 & +  0.01 x_{12} & -0.06 x_{20} & -0.02 x_{26} & -1.62 x_{1} & +  0.11 x_{5} & -0.07 x_{30} & +  0.10 x_{24} & +  0.30 x_{3} & +  0.05 x_{9} & +  0.17 x_{10} & -0.12 x_{11} & -0.12 x_{6} & +  0.85 x_{13} & -1.15 x_{14} & +  0.05 x_{25} & -0.02 x_{31}\\
 x_{18}   &  43.4468944011 & -9.16 x_{12} & +  0.50 x_{20} & -0.25 x_{26} & +  5.92 x_{1} & -12.06 x_{5} & -0.14 x_{30} & -0.41 x_{24} & -4.41 x_{3} & +  8.58 x_{9} & -14.42 x_{10} & -2.52 x_{11} & -5.92 x_{6} & + 13.94 x_{13} & +  8.34 x_{14} & -0.93 x_{25} & +  0.18 x_{31}\\
 x_{19}   &  52.2033511247 & +  8.76 x_{12} & +  0.15 x_{20} & -0.50 x_{26} & -11.59 x_{1} & -14.78 x_{5} & -0.25 x_{30} & -0.26 x_{24} & -0.07 x_{3} & +  4.10 x_{9} & +  2.28 x_{10} & -14.33 x_{11} & + 11.41 x_{6} & -7.49 x_{13} & +  0.83 x_{14} & +  0.26 x_{25} & -0.48 x_{31}\\
 x_{4}   &  0.456756581985 & +  0.02 x_{12} & -0.09 x_{20} & -0.03 x_{26} & -1.75 x_{1} & -0.48 x_{5} & -0.01 x_{30} & +  0.07 x_{24} & +  0.23 x_{3} & -0.40 x_{9} & -0.44 x_{10} & -0.06 x_{11} & +  1.04 x_{6} & +  0.51 x_{13} & -0.22 x_{14} & +  0.07 x_{25} & -0.08 x_{31}\\
 x_{21}   &  50.5951242145 & -3.99 x_{12} & +  0.55 x_{20} & -0.43 x_{26} & +  5.19 x_{1} & -11.79 x_{5} & -0.78 x_{30} & +  0.41 x_{24} & -2.23 x_{3} & + 15.90 x_{9} & -12.27 x_{10} & -3.21 x_{11} & -21.85 x_{6} & + 18.21 x_{13} & -6.18 x_{14} & -0.86 x_{25} & +  0.12 x_{31}\\
 x_{22}   &  15.6942380245 & -9.02 x_{12} & +  0.75 x_{20} & +  0.20 x_{26} & + 10.89 x_{1} & -7.24 x_{5} & +  0.63 x_{30} & -0.99 x_{24} & +  6.77 x_{3} & -5.71 x_{9} & -7.28 x_{10} & +  2.39 x_{11} & -1.63 x_{6} & -15.59 x_{13} & + 10.96 x_{14} & -0.33 x_{25} & +  0.38 x_{31}\\
 x_{23}   &  18.7858664533 & -1.17 x_{12} & +  0.25 x_{20} & -0.12 x_{26} & -5.32 x_{1} & -7.42 x_{5} & -0.38 x_{30} & +  0.09 x_{24} & + 11.78 x_{3} & + 16.07 x_{9} & -8.68 x_{10} & + 13.99 x_{11} & -22.58 x_{6} & +  9.75 x_{13} & + 13.17 x_{14} & -1.13 x_{25} & -0.49 x_{31}\\
 x_{2}   &  0.158082045712 & +  0.50 x_{12} & -0.05 x_{20} & -0.01 x_{26} & -0.42 x_{1} & +  0.38 x_{5} & +  0.02 x_{30} & -0.02 x_{24} & +  0.09 x_{3} & -0.08 x_{9} & +  0.45 x_{10} & -0.52 x_{11} & +  1.29 x_{6} & -1.11 x_{13} & -0.16 x_{14} & +  0.04 x_{25} & +  0.05 x_{31}\\
 x_{17}   &  4.95814327453 & +  4.01 x_{12} & -0.21 x_{20} & -0.36 x_{26} & -18.83 x_{1} & -5.93 x_{5} & -0.61 x_{30} & +  0.49 x_{24} & +  9.53 x_{3} & +  3.90 x_{9} & +  7.48 x_{10} & +  0.36 x_{11} & -1.05 x_{6} & -3.54 x_{13} & -22.65 x_{14} & +  0.57 x_{25} & +  0.31 x_{31}\\
 x_{8}   &  0.218597281242 & +  0.21 x_{12} & +  0.03 x_{20} & +  0.08 x_{26} & +  1.78 x_{1} & +  1.19 x_{5} & +  0.08 x_{30} & -0.07 x_{24} & -1.09 x_{3} & -0.64 x_{9} & +  1.19 x_{10} & -0.10 x_{11} & +  0.69 x_{6} & -1.56 x_{13} & +  0.58 x_{14} & +  0.04 x_{25} & +  0.06 x_{31}\\
 x_{27}   &  21.2013957819 & +  0.21 x_{12} & +  0.78 x_{20} & -1.08 x_{26} & -13.06 x_{1} & -23.69 x_{5} & -1.18 x_{30} & +  0.98 x_{24} & + 18.57 x_{3} & + 11.41 x_{9} & -11.87 x_{10} & +  8.84 x_{11} & -27.00 x_{6} & + 10.87 x_{13} & -13.84 x_{14} & -0.50 x_{25} & -0.82 x_{31}\\
 x_{28}   &  11.7810102031 & -2.01 x_{12} & -1.07 x_{20} & +  1.01 x_{26} & +  8.94 x_{1} & + 24.69 x_{5} & +  0.61 x_{30} & +  0.34 x_{24} & -7.94 x_{3} & +  2.57 x_{9} & + 17.43 x_{10} & + 13.05 x_{11} & +  3.97 x_{6} & -0.47 x_{13} & -8.65 x_{14} & +  0.68 x_{25} & +  0.44 x_{31}\\
 x_{29}   &  12.2904692416 & +  5.68 x_{12} & -0.38 x_{20} & -1.25 x_{26} & -29.54 x_{1} & -15.51 x_{5} & -0.51 x_{30} & -0.09 x_{24} & + 17.44 x_{3} & +  7.91 x_{9} & -17.13 x_{10} & -7.05 x_{11} & + 14.24 x_{6} & -3.74 x_{13} & +  0.05 x_{14} & +  0.02 x_{25} & -0.58 x_{31}\\
 x_{7}   &  0.505643768566 & -0.12 x_{12} & +  0.02 x_{20} & -0.05 x_{26} & -0.45 x_{1} & -0.50 x_{5} & +  0.00 x_{30} & +  0.03 x_{24} & +  0.23 x_{3} & -0.00 x_{9} & +  0.08 x_{10} & -0.15 x_{11} & +  0.05 x_{6} & -0.23 x_{13} & -0.52 x_{14} & +  0.02 x_{25} & -0.01 x_{31}\\
 x_{16}   &  0.678445601994 & -0.90 x_{12} & +  0.04 x_{20} & +  0.08 x_{26} & +  2.24 x_{1} & +  1.73 x_{5} & +  0.10 x_{30} & -0.05 x_{24} & -1.34 x_{3} & -0.18 x_{9} & +  0.37 x_{10} & +  1.17 x_{11} & -0.01 x_{6} & -0.83 x_{13} & +  0.77 x_{14} & -0.06 x_{25} & +  0.07 x_{31}\\
 x_{32}   &  7.41124873778 & +  0.59 x_{12} & -0.54 x_{20} & -0.82 x_{26} & -19.85 x_{1} & -35.51 x_{5} & -1.15 x_{30} & +  0.72 x_{24} & + 21.45 x_{3} & +  0.48 x_{9} & -13.59 x_{10} & -6.36 x_{11} & -1.65 x_{6} & + 15.14 x_{13} & -0.91 x_{14} & +  0.23 x_{25} & -1.79 x_{31}\\
\hline
z    &  2.34285696197 & -0.33 x_{12} & -0.02 x_{20} & +  0.30 x_{26} & +  1.81 x_{1} & +  0.20 x_{5} & -0.02 x_{30} & +  0.25 x_{24} & -1.42 x_{3} & +  1.74 x_{9} & +  0.86 x_{10} & +  3.63 x_{11} & -3.32 x_{6} & +  1.41 x_{13} & -4.46 x_{14} & +  0.31 x_{25} & -0.23 x_{31}\\
\end{array}\]


 $ x_{1} $ enters and $ x_{4} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{15}   &  0.345848473729 & -0.01 x_{12} & +  0.02 x_{20} & +  0.01 x_{26} & +  0.93 x_{4} & +  0.55 x_{5} & -0.06 x_{30} & +  0.04 x_{24} & +  0.08 x_{3} & +  0.43 x_{9} & +  0.58 x_{10} & -0.06 x_{11} & -1.08 x_{6} & +  0.38 x_{13} & -0.94 x_{14} & -0.02 x_{25} & +  0.05 x_{31}\\
 x_{18}   &  44.9947008399 & -9.08 x_{12} & +  0.19 x_{20} & -0.37 x_{26} & -3.39 x_{4} & -13.68 x_{5} & -0.18 x_{30} & -0.18 x_{24} & -3.62 x_{3} & +  7.21 x_{9} & -15.91 x_{10} & -2.74 x_{11} & -2.40 x_{6} & + 15.68 x_{13} & +  7.60 x_{14} & -0.70 x_{25} & -0.09 x_{31}\\
 x_{19}   &  49.173780259 & +  8.61 x_{12} & +  0.76 x_{20} & -0.27 x_{26} & +  6.63 x_{4} & -11.60 x_{5} & -0.18 x_{30} & -0.70 x_{24} & -1.62 x_{3} & +  6.77 x_{9} & +  5.20 x_{10} & -13.91 x_{11} & +  4.53 x_{6} & -10.88 x_{13} & +  2.29 x_{14} & -0.19 x_{25} & +  0.05 x_{31}\\
 x_{1}   &  0.261376839684 & +  0.01 x_{12} & -0.05 x_{20} & -0.02 x_{26} & -0.57 x_{4} & -0.27 x_{5} & -0.01 x_{30} & +  0.04 x_{24} & +  0.13 x_{3} & -0.23 x_{9} & -0.25 x_{10} & -0.04 x_{11} & +  0.59 x_{6} & +  0.29 x_{13} & -0.13 x_{14} & +  0.04 x_{25} & -0.05 x_{31}\\
 x_{21}   &  51.9505724842 & -3.93 x_{12} & +  0.28 x_{20} & -0.53 x_{26} & -2.97 x_{4} & -13.22 x_{5} & -0.81 x_{30} & +  0.61 x_{24} & -1.53 x_{3} & + 14.70 x_{9} & -13.57 x_{10} & -3.39 x_{11} & -18.77 x_{6} & + 19.72 x_{13} & -6.83 x_{14} & -0.66 x_{25} & -0.12 x_{31}\\
 x_{22}   &  18.5401445404 & -8.89 x_{12} & +  0.17 x_{20} & -0.02 x_{26} & -6.23 x_{4} & -10.22 x_{5} & +  0.57 x_{30} & -0.58 x_{24} & +  8.23 x_{3} & -8.22 x_{9} & -10.02 x_{10} & +  1.99 x_{11} & +  4.83 x_{6} & -12.40 x_{13} & +  9.59 x_{14} & +  0.10 x_{25} & -0.12 x_{31}\\
 x_{23}   &  17.3957547202 & -1.24 x_{12} & +  0.53 x_{20} & -0.01 x_{26} & +  3.04 x_{4} & -5.96 x_{5} & -0.35 x_{30} & -0.11 x_{24} & + 11.07 x_{3} & + 17.30 x_{9} & -7.34 x_{10} & + 14.18 x_{11} & -25.74 x_{6} & +  8.20 x_{13} & + 13.84 x_{14} & -1.34 x_{25} & -0.25 x_{31}\\
 x_{2}   &  0.0491281150485 & +  0.49 x_{12} & -0.03 x_{20} & -0.00 x_{26} & +  0.24 x_{4} & +  0.49 x_{5} & +  0.02 x_{30} & -0.04 x_{24} & +  0.03 x_{3} & +  0.02 x_{9} & +  0.56 x_{10} & -0.51 x_{11} & +  1.05 x_{6} & -1.23 x_{13} & -0.10 x_{14} & +  0.03 x_{25} & +  0.06 x_{31}\\
 x_{17}   &  0.0372258361354 & +  3.77 x_{12} & +  0.79 x_{20} & +  0.01 x_{26} & + 10.77 x_{4} & -0.76 x_{5} & -0.50 x_{30} & -0.22 x_{24} & +  7.01 x_{3} & +  8.24 x_{9} & + 12.23 x_{10} & +  1.05 x_{11} & -12.22 x_{6} & -9.06 x_{13} & -20.28 x_{14} & -0.16 x_{25} & +  1.17 x_{31}\\
 x_{8}   &  0.68306038786 & +  0.24 x_{12} & -0.07 x_{20} & +  0.05 x_{26} & -1.02 x_{4} & +  0.70 x_{5} & +  0.07 x_{30} & -0.00 x_{24} & -0.85 x_{3} & -1.05 x_{9} & +  0.74 x_{10} & -0.16 x_{11} & +  1.75 x_{6} & -1.04 x_{13} & +  0.35 x_{14} & +  0.11 x_{25} & -0.02 x_{31}\\
 x_{27}   &  17.7867146294 & +  0.05 x_{12} & +  1.47 x_{20} & -0.82 x_{26} & +  7.48 x_{4} & -20.10 x_{5} & -1.10 x_{30} & +  0.49 x_{24} & + 16.82 x_{3} & + 14.43 x_{9} & -8.58 x_{10} & +  9.31 x_{11} & -34.75 x_{6} & +  7.04 x_{13} & -12.20 x_{14} & -1.02 x_{25} & -0.22 x_{31}\\
 x_{28}   &  14.1189793152 & -1.90 x_{12} & -1.54 x_{20} & +  0.84 x_{26} & -5.12 x_{4} & + 22.23 x_{5} & +  0.56 x_{30} & +  0.68 x_{24} & -6.75 x_{3} & +  0.50 x_{9} & + 15.17 x_{10} & + 12.73 x_{11} & +  9.28 x_{6} & +  2.15 x_{13} & -9.78 x_{14} & +  1.03 x_{25} & +  0.03 x_{31}\\
 x_{29}   &  4.5699730824 & +  5.31 x_{12} & +  1.19 x_{20} & -0.67 x_{26} & + 16.90 x_{4} & -7.40 x_{5} & -0.34 x_{30} & -1.21 x_{24} & + 13.48 x_{3} & + 14.73 x_{9} & -9.69 x_{10} & -5.98 x_{11} & -3.29 x_{6} & -12.39 x_{13} & +  3.77 x_{14} & -1.13 x_{25} & +  0.78 x_{31}\\
 x_{7}   &  0.386993949362 & -0.12 x_{12} & +  0.05 x_{20} & -0.05 x_{26} & +  0.26 x_{4} & -0.37 x_{5} & +  0.00 x_{30} & +  0.01 x_{24} & +  0.17 x_{3} & +  0.10 x_{9} & +  0.20 x_{10} & -0.14 x_{11} & -0.22 x_{6} & -0.36 x_{13} & -0.46 x_{14} & -0.00 x_{25} & +  0.01 x_{31}\\
 x_{16}   &  1.26491530608 & -0.87 x_{12} & -0.08 x_{20} & +  0.03 x_{26} & -1.28 x_{4} & +  1.12 x_{5} & +  0.08 x_{30} & +  0.03 x_{24} & -1.04 x_{3} & -0.70 x_{9} & -0.20 x_{10} & +  1.09 x_{11} & +  1.32 x_{6} & -0.17 x_{13} & +  0.49 x_{14} & +  0.03 x_{25} & -0.03 x_{31}\\
 x_{32}   &  2.22204174221 & +  0.34 x_{12} & +  0.51 x_{20} & -0.42 x_{26} & + 11.36 x_{4} & -30.06 x_{5} & -1.04 x_{30} & -0.03 x_{24} & + 18.79 x_{3} & +  5.06 x_{9} & -8.59 x_{10} & -5.64 x_{11} & -13.43 x_{6} & +  9.33 x_{13} & +  1.59 x_{14} & -0.54 x_{25} & -0.88 x_{31}\\
\hline
z    &  2.81667436949 & -0.31 x_{12} & -0.11 x_{20} & +  0.26 x_{26} & -1.04 x_{4} & -0.30 x_{5} & -0.03 x_{30} & +  0.31 x_{24} & -1.18 x_{3} & +  1.32 x_{9} & +  0.41 x_{10} & +  3.56 x_{11} & -2.24 x_{6} & +  1.94 x_{13} & -4.69 x_{14} & +  0.38 x_{25} & -0.31 x_{31}\\
\end{array}\]


 $ x_{9} $ enters and $ x_{8} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{15}   &  0.625336489538 & +  0.09 x_{12} & -0.00 x_{20} & +  0.03 x_{26} & +  0.51 x_{4} & +  0.84 x_{5} & -0.03 x_{30} & +  0.04 x_{24} & -0.27 x_{3} & -0.41 x_{8} & +  0.88 x_{10} & -0.12 x_{11} & -0.37 x_{6} & -0.05 x_{13} & -0.80 x_{14} & +  0.03 x_{25} & +  0.04 x_{31}\\
 x_{18}   &  49.707287333 & -7.45 x_{12} & -0.26 x_{20} & -0.05 x_{26} & -10.40 x_{4} & -8.83 x_{5} & +  0.32 x_{30} & -0.19 x_{24} & -9.51 x_{3} & -6.90 x_{8} & -10.79 x_{10} & -3.85 x_{11} & +  9.66 x_{6} & +  8.51 x_{13} & + 10.04 x_{14} & +  0.06 x_{25} & -0.25 x_{31}\\
 x_{19}   &  53.5973727392 & + 10.14 x_{12} & +  0.34 x_{20} & +  0.03 x_{26} & +  0.05 x_{4} & -7.05 x_{5} & +  0.28 x_{30} & -0.70 x_{24} & -7.15 x_{3} & -6.48 x_{8} & + 10.01 x_{10} & -14.96 x_{11} & + 15.86 x_{6} & -17.61 x_{13} & +  4.59 x_{14} & +  0.52 x_{25} & -0.10 x_{31}\\
 x_{1}   &  0.110612388063 & -0.04 x_{12} & -0.04 x_{20} & -0.03 x_{26} & -0.35 x_{4} & -0.43 x_{5} & -0.02 x_{30} & +  0.04 x_{24} & +  0.32 x_{3} & +  0.22 x_{8} & -0.42 x_{10} & -0.00 x_{11} & +  0.21 x_{6} & +  0.52 x_{13} & -0.20 x_{14} & +  0.02 x_{25} & -0.04 x_{31}\\
 x_{21}   &  61.5564620472 & -0.61 x_{12} & -0.64 x_{20} & +  0.11 x_{26} & -17.27 x_{4} & -3.33 x_{5} & +  0.20 x_{30} & +  0.60 x_{24} & -13.54 x_{3} & -14.06 x_{8} & -3.13 x_{10} & -5.67 x_{11} & +  5.81 x_{6} & +  5.12 x_{13} & -1.85 x_{14} & +  0.88 x_{25} & -0.44 x_{31}\\
 x_{22}   &  13.1666700909 & -10.75 x_{12} & +  0.69 x_{20} & -0.38 x_{26} & +  1.77 x_{4} & -15.76 x_{5} & +  0.01 x_{30} & -0.57 x_{24} & + 14.94 x_{3} & +  7.87 x_{8} & -15.87 x_{10} & +  3.27 x_{11} & -8.92 x_{6} & -4.23 x_{13} & +  6.80 x_{14} & -0.77 x_{25} & +  0.06 x_{31}\\
 x_{23}   &  28.6991561368 & +  2.66 x_{12} & -0.55 x_{20} & +  0.75 x_{26} & -13.78 x_{4} & +  5.68 x_{5} & +  0.84 x_{30} & -0.12 x_{24} & -3.06 x_{3} & -16.55 x_{8} & +  4.95 x_{10} & + 11.50 x_{11} & +  3.20 x_{6} & -8.99 x_{13} & + 19.70 x_{14} & +  0.47 x_{25} & -0.63 x_{31}\\
 x_{2}   &  0.0616281749451 & +  0.50 x_{12} & -0.03 x_{20} & +  0.00 x_{26} & +  0.22 x_{4} & +  0.50 x_{5} & +  0.02 x_{30} & -0.04 x_{24} & +  0.02 x_{3} & -0.02 x_{8} & +  0.57 x_{10} & -0.51 x_{11} & +  1.08 x_{6} & -1.25 x_{13} & -0.10 x_{14} & +  0.03 x_{25} & +  0.06 x_{31}\\
 x_{17}   &  5.42352024432 & +  5.63 x_{12} & +  0.28 x_{20} & +  0.37 x_{26} & +  2.76 x_{4} & +  4.79 x_{5} & +  0.06 x_{30} & -0.23 x_{24} & +  0.28 x_{3} & -7.89 x_{8} & + 18.08 x_{10} & -0.23 x_{11} & +  1.57 x_{6} & -17.24 x_{13} & -17.48 x_{14} & +  0.70 x_{25} & +  0.99 x_{31}\\
 x_{9}   &  0.653389104063 & +  0.23 x_{12} & -0.06 x_{20} & +  0.04 x_{26} & -0.97 x_{4} & +  0.67 x_{5} & +  0.07 x_{30} & -0.00 x_{24} & -0.82 x_{3} & -0.96 x_{8} & +  0.71 x_{10} & -0.15 x_{11} & +  1.67 x_{6} & -0.99 x_{13} & +  0.34 x_{14} & +  0.10 x_{25} & -0.02 x_{31}\\
 x_{27}   &  27.2134203229 & +  3.30 x_{12} & +  0.57 x_{20} & -0.18 x_{26} & -6.56 x_{4} & -10.40 x_{5} & -0.11 x_{30} & +  0.48 x_{24} & +  5.03 x_{3} & -13.80 x_{8} & +  1.67 x_{10} & +  7.08 x_{11} & -10.63 x_{6} & -7.29 x_{13} & -7.31 x_{14} & +  0.49 x_{25} & -0.53 x_{31}\\
 x_{28}   &  14.4469167719 & -1.78 x_{12} & -1.57 x_{20} & +  0.86 x_{26} & -5.61 x_{4} & + 22.57 x_{5} & +  0.59 x_{30} & +  0.68 x_{24} & -7.16 x_{3} & -0.48 x_{8} & + 15.53 x_{10} & + 12.65 x_{11} & + 10.12 x_{6} & +  1.65 x_{13} & -9.61 x_{14} & +  1.08 x_{25} & +  0.01 x_{31}\\
 x_{29}   &  14.1932506294 & +  8.64 x_{12} & +  0.26 x_{20} & -0.02 x_{26} & +  2.58 x_{4} & +  2.50 x_{5} & +  0.67 x_{30} & -1.22 x_{24} & +  1.45 x_{3} & -14.09 x_{8} & +  0.77 x_{10} & -8.27 x_{11} & + 21.34 x_{6} & -27.02 x_{13} & +  8.76 x_{14} & +  0.41 x_{25} & +  0.46 x_{31}\\
 x_{7}   &  0.454932865464 & -0.10 x_{12} & +  0.04 x_{20} & -0.04 x_{26} & +  0.16 x_{4} & -0.30 x_{5} & +  0.01 x_{30} & +  0.01 x_{24} & +  0.09 x_{3} & -0.10 x_{8} & +  0.27 x_{10} & -0.15 x_{11} & -0.04 x_{6} & -0.47 x_{13} & -0.42 x_{14} & +  0.01 x_{25} & +  0.01 x_{31}\\
 x_{16}   &  0.809883875062 & -1.03 x_{12} & -0.04 x_{20} & +  0.00 x_{26} & -0.61 x_{4} & +  0.65 x_{5} & +  0.04 x_{30} & +  0.03 x_{24} & -0.47 x_{3} & +  0.67 x_{8} & -0.69 x_{10} & +  1.20 x_{11} & +  0.15 x_{6} & +  0.52 x_{13} & +  0.26 x_{14} & -0.05 x_{25} & -0.02 x_{31}\\
 x_{32}   &  5.53085629177 & +  1.49 x_{12} & +  0.20 x_{20} & -0.20 x_{26} & +  6.44 x_{4} & -26.65 x_{5} & -0.70 x_{30} & -0.03 x_{24} & + 14.65 x_{3} & -4.84 x_{8} & -4.99 x_{10} & -6.42 x_{11} & -4.96 x_{6} & +  4.30 x_{13} & +  3.31 x_{14} & -0.01 x_{25} & -0.99 x_{31}\\
\hline
z    &  3.68060976174 & -0.01 x_{12} & -0.20 x_{20} & +  0.32 x_{26} & -2.32 x_{4} & +  0.59 x_{5} & +  0.06 x_{30} & +  0.31 x_{24} & -2.26 x_{3} & -1.26 x_{8} & +  1.35 x_{10} & +  3.36 x_{11} & -0.03 x_{6} & +  0.63 x_{13} & -4.24 x_{14} & +  0.52 x_{25} & -0.34 x_{31}\\
\end{array}\]


 $ x_{5} $ enters and $ x_{32} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{15}   &  0.799692284083 & +  0.13 x_{12} & +  0.00 x_{20} & +  0.03 x_{26} & +  0.72 x_{4} & -0.03 x_{32} & -0.05 x_{30} & +  0.04 x_{24} & +  0.19 x_{3} & -0.56 x_{8} & +  0.72 x_{10} & -0.33 x_{11} & -0.52 x_{6} & +  0.09 x_{13} & -0.69 x_{14} & +  0.03 x_{25} & +  0.01 x_{31}\\
 x_{18}   &  47.8745883721 & -7.95 x_{12} & -0.33 x_{20} & +  0.01 x_{26} & -12.54 x_{4} & +  0.33 x_{32} & +  0.55 x_{30} & -0.18 x_{24} & -14.37 x_{3} & -5.29 x_{8} & -9.14 x_{10} & -1.73 x_{11} & + 11.30 x_{6} & +  7.09 x_{13} & +  8.95 x_{14} & +  0.06 x_{25} & +  0.08 x_{31}\\
 x_{19}   &  52.1347945011 & +  9.75 x_{12} & +  0.29 x_{20} & +  0.08 x_{26} & -1.65 x_{4} & +  0.26 x_{32} & +  0.46 x_{30} & -0.69 x_{24} & -11.03 x_{3} & -5.20 x_{8} & + 11.33 x_{10} & -13.26 x_{11} & + 17.17 x_{6} & -18.75 x_{13} & +  3.71 x_{14} & +  0.52 x_{25} & +  0.17 x_{31}\\
 x_{1}   &  0.0214148644132 & -0.06 x_{12} & -0.04 x_{20} & -0.03 x_{26} & -0.45 x_{4} & +  0.02 x_{32} & -0.01 x_{30} & +  0.04 x_{24} & +  0.09 x_{3} & +  0.30 x_{8} & -0.34 x_{10} & +  0.10 x_{11} & +  0.29 x_{6} & +  0.45 x_{13} & -0.26 x_{14} & +  0.02 x_{25} & -0.02 x_{31}\\
 x_{21}   &  60.8662451972 & -0.80 x_{12} & -0.67 x_{20} & +  0.14 x_{26} & -18.07 x_{4} & +  0.12 x_{32} & +  0.28 x_{30} & +  0.60 x_{24} & -15.37 x_{3} & -13.46 x_{8} & -2.51 x_{10} & -4.87 x_{11} & +  6.43 x_{6} & +  4.59 x_{13} & -2.26 x_{14} & +  0.88 x_{25} & -0.32 x_{31}\\
 x_{22}   &  9.89648635592 & -11.62 x_{12} & +  0.57 x_{20} & -0.26 x_{26} & -2.04 x_{4} & +  0.59 x_{32} & +  0.42 x_{30} & -0.55 x_{24} & +  6.28 x_{3} & + 10.73 x_{8} & -12.92 x_{10} & +  7.07 x_{11} & -5.99 x_{6} & -6.77 x_{13} & +  4.85 x_{14} & -0.76 x_{25} & +  0.65 x_{31}\\
 x_{23}   &  29.8781025354 & +  2.98 x_{12} & -0.51 x_{20} & +  0.71 x_{26} & -12.41 x_{4} & -0.21 x_{32} & +  0.69 x_{30} & -0.13 x_{24} & +  0.06 x_{3} & -17.58 x_{8} & +  3.89 x_{10} & + 10.13 x_{11} & +  2.14 x_{6} & -8.07 x_{13} & + 20.41 x_{14} & +  0.47 x_{25} & -0.84 x_{31}\\
 x_{2}   &  0.166059726305 & +  0.53 x_{12} & -0.03 x_{20} & -0.00 x_{26} & +  0.34 x_{4} & -0.02 x_{32} & +  0.01 x_{30} & -0.04 x_{24} & +  0.29 x_{3} & -0.11 x_{8} & +  0.48 x_{10} & -0.63 x_{11} & +  0.98 x_{6} & -1.17 x_{13} & -0.04 x_{14} & +  0.03 x_{25} & +  0.05 x_{31}\\
 x_{17}   &  6.41711292713 & +  5.90 x_{12} & +  0.31 x_{20} & +  0.34 x_{26} & +  3.91 x_{4} & -0.18 x_{32} & -0.06 x_{30} & -0.23 x_{24} & +  2.91 x_{3} & -8.76 x_{8} & + 17.19 x_{10} & -1.38 x_{11} & +  0.67 x_{6} & -16.47 x_{13} & -16.89 x_{14} & +  0.70 x_{25} & +  0.81 x_{31}\\
 x_{9}   &  0.793005136521 & +  0.26 x_{12} & -0.06 x_{20} & +  0.04 x_{26} & -0.81 x_{4} & -0.03 x_{32} & +  0.05 x_{30} & -0.00 x_{24} & -0.45 x_{3} & -1.08 x_{8} & +  0.58 x_{10} & -0.32 x_{11} & +  1.55 x_{6} & -0.88 x_{13} & +  0.42 x_{14} & +  0.10 x_{25} & -0.05 x_{31}\\
 x_{27}   &  25.0557178116 & +  2.72 x_{12} & +  0.49 x_{20} & -0.11 x_{26} & -9.07 x_{4} & +  0.39 x_{32} & +  0.16 x_{30} & +  0.49 x_{24} & -0.68 x_{3} & -11.91 x_{8} & +  3.62 x_{10} & +  9.58 x_{11} & -8.69 x_{6} & -8.96 x_{13} & -8.60 x_{14} & +  0.50 x_{25} & -0.15 x_{31}\\
 x_{28}   &  19.1306878884 & -0.52 x_{12} & -1.41 x_{20} & +  0.69 x_{26} & -0.16 x_{4} & -0.85 x_{32} & +  0.00 x_{30} & +  0.65 x_{24} & +  5.25 x_{3} & -4.58 x_{8} & + 11.30 x_{10} & +  7.21 x_{11} & +  5.91 x_{6} & +  5.29 x_{13} & -6.81 x_{14} & +  1.07 x_{25} & -0.83 x_{31}\\
 x_{29}   &  14.7129852147 & +  8.78 x_{12} & +  0.28 x_{20} & -0.04 x_{26} & +  3.18 x_{4} & -0.09 x_{32} & +  0.60 x_{30} & -1.22 x_{24} & +  2.83 x_{3} & -14.54 x_{8} & +  0.30 x_{10} & -8.87 x_{11} & + 20.88 x_{6} & -26.61 x_{13} & +  9.07 x_{14} & +  0.41 x_{25} & +  0.36 x_{31}\\
 x_{7}   &  0.392558571253 & -0.11 x_{12} & +  0.04 x_{20} & -0.04 x_{26} & +  0.09 x_{4} & +  0.01 x_{32} & +  0.02 x_{30} & +  0.01 x_{24} & -0.08 x_{3} & -0.04 x_{8} & +  0.33 x_{10} & -0.08 x_{11} & +  0.01 x_{6} & -0.52 x_{13} & -0.46 x_{14} & +  0.01 x_{25} & +  0.02 x_{31}\\
 x_{16}   &  0.944850572409 & -0.99 x_{12} & -0.03 x_{20} & -0.00 x_{26} & -0.45 x_{4} & -0.02 x_{32} & +  0.02 x_{30} & +  0.03 x_{24} & -0.11 x_{3} & +  0.55 x_{8} & -0.82 x_{10} & +  1.04 x_{11} & +  0.03 x_{6} & +  0.62 x_{13} & +  0.34 x_{14} & -0.05 x_{25} & -0.04 x_{31}\\
 x_{5}   &  0.207532438918 & +  0.06 x_{12} & +  0.01 x_{20} & -0.01 x_{26} & +  0.24 x_{4} & -0.04 x_{32} & -0.03 x_{30} & -0.00 x_{24} & +  0.55 x_{3} & -0.18 x_{8} & -0.19 x_{10} & -0.24 x_{11} & -0.19 x_{6} & +  0.16 x_{13} & +  0.12 x_{14} & -0.00 x_{25} & -0.04 x_{31}\\
\hline
z    &  3.80274474625 & +  0.02 x_{12} & -0.19 x_{20} & +  0.32 x_{26} & -2.18 x_{4} & -0.02 x_{32} & +  0.05 x_{30} & +  0.31 x_{24} & -1.94 x_{3} & -1.37 x_{8} & +  1.24 x_{10} & +  3.21 x_{11} & -0.14 x_{6} & +  0.72 x_{13} & -4.17 x_{14} & +  0.52 x_{25} & -0.36 x_{31}\\
\end{array}\]


 $ x_{10} $ enters and $ x_{1} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{15}   &  0.845857664674 & -0.00 x_{12} & -0.09 x_{20} & -0.03 x_{26} & -0.26 x_{4} & +  0.00 x_{32} & -0.07 x_{30} & +  0.12 x_{24} & +  0.38 x_{3} & +  0.08 x_{8} & -2.16 x_{1} & -0.10 x_{11} & +  0.10 x_{6} & +  1.06 x_{13} & -1.25 x_{14} & +  0.06 x_{25} & -0.04 x_{31}\\
 x_{18}   &  47.2913156304 & -6.21 x_{12} & +  0.81 x_{20} & +  0.74 x_{26} & -0.24 x_{4} & -0.11 x_{32} & +  0.82 x_{30} & -1.23 x_{24} & -16.71 x_{3} & -13.43 x_{8} & + 27.24 x_{1} & -4.53 x_{11} & +  3.47 x_{6} & -5.24 x_{13} & + 15.96 x_{14} & -0.35 x_{25} & +  0.75 x_{31}\\
 x_{19}   &  52.8580566304 & +  7.60 x_{12} & -1.12 x_{20} & -0.82 x_{26} & -16.91 x_{4} & +  0.81 x_{32} & +  0.12 x_{30} & +  0.61 x_{24} & -8.12 x_{3} & +  4.90 x_{8} & -33.77 x_{1} & -9.78 x_{11} & + 26.89 x_{6} & -3.46 x_{13} & -4.99 x_{14} & +  1.03 x_{25} & -0.67 x_{31}\\
 x_{10}   &  0.0638480729622 & -0.19 x_{12} & -0.12 x_{20} & -0.08 x_{26} & -1.35 x_{4} & +  0.05 x_{32} & -0.03 x_{30} & +  0.11 x_{24} & +  0.26 x_{3} & +  0.89 x_{8} & -2.98 x_{1} & +  0.31 x_{11} & +  0.86 x_{6} & +  1.35 x_{13} & -0.77 x_{14} & +  0.05 x_{25} & -0.07 x_{31}\\
 x_{21}   &  60.7061116758 & -0.32 x_{12} & -0.36 x_{20} & +  0.34 x_{26} & -14.69 x_{4} & +  0.00 x_{32} & +  0.36 x_{30} & +  0.31 x_{24} & -16.01 x_{3} & -15.69 x_{8} & +  7.48 x_{1} & -5.64 x_{11} & +  4.28 x_{6} & +  1.20 x_{13} & -0.33 x_{14} & +  0.77 x_{25} & -0.13 x_{31}\\
 x_{22}   &  9.07181297557 & -9.17 x_{12} & +  2.18 x_{20} & +  0.77 x_{26} & + 15.35 x_{4} & -0.03 x_{32} & +  0.81 x_{30} & -2.03 x_{24} & +  2.96 x_{3} & -0.78 x_{8} & + 38.51 x_{1} & +  3.10 x_{11} & -17.07 x_{6} & -24.20 x_{13} & + 14.77 x_{14} & -1.34 x_{25} & +  1.60 x_{31}\\
 x_{23}   &  30.1263725945 & +  2.24 x_{12} & -0.99 x_{20} & +  0.40 x_{26} & -17.65 x_{4} & -0.03 x_{32} & +  0.57 x_{30} & +  0.31 x_{24} & +  1.06 x_{3} & -14.12 x_{8} & -11.59 x_{1} & + 11.33 x_{11} & +  5.47 x_{6} & -2.82 x_{13} & + 17.42 x_{14} & +  0.65 x_{25} & -1.13 x_{31}\\
 x_{2}   &  0.196517388412 & +  0.43 x_{12} & -0.09 x_{20} & -0.04 x_{26} & -0.30 x_{4} & +  0.00 x_{32} & -0.00 x_{30} & +  0.01 x_{24} & +  0.41 x_{3} & +  0.32 x_{8} & -1.42 x_{1} & -0.48 x_{11} & +  1.39 x_{6} & -0.53 x_{13} & -0.40 x_{14} & +  0.05 x_{25} & +  0.01 x_{31}\\
 x_{17}   &  7.51452686005 & +  2.64 x_{12} & -1.83 x_{20} & -1.04 x_{26} & -19.23 x_{4} & +  0.65 x_{32} & -0.58 x_{30} & +  1.74 x_{24} & +  7.32 x_{3} & +  6.56 x_{8} & -51.25 x_{1} & +  3.90 x_{11} & + 15.42 x_{6} & +  6.73 x_{13} & -30.09 x_{14} & +  1.48 x_{25} & -0.46 x_{31}\\
 x_{9}   &  0.830317766444 & +  0.15 x_{12} & -0.13 x_{20} & -0.01 x_{26} & -1.60 x_{4} & +  0.00 x_{32} & +  0.03 x_{30} & +  0.07 x_{24} & -0.30 x_{3} & -0.56 x_{8} & -1.74 x_{1} & -0.14 x_{11} & +  2.05 x_{6} & -0.10 x_{13} & -0.03 x_{14} & +  0.13 x_{25} & -0.09 x_{31}\\
 x_{27}   &  25.2868693891 & +  2.04 x_{12} & +  0.04 x_{20} & -0.39 x_{26} & -13.94 x_{4} & +  0.56 x_{32} & +  0.05 x_{30} & +  0.90 x_{24} & +  0.25 x_{3} & -8.69 x_{8} & -10.79 x_{1} & + 10.70 x_{11} & -5.58 x_{6} & -4.08 x_{13} & -11.38 x_{14} & +  0.66 x_{25} & -0.41 x_{31}\\
 x_{28}   &  19.852384176 & -2.67 x_{12} & -2.82 x_{20} & -0.21 x_{26} & -15.38 x_{4} & -0.30 x_{32} & -0.34 x_{30} & +  1.95 x_{24} & +  8.16 x_{3} & +  5.49 x_{8} & -33.70 x_{1} & + 10.69 x_{11} & + 15.61 x_{6} & + 20.55 x_{13} & -15.49 x_{14} & +  1.58 x_{25} & -1.66 x_{31}\\
 x_{29}   &  14.7323109056 & +  8.72 x_{12} & +  0.24 x_{20} & -0.06 x_{26} & +  2.77 x_{4} & -0.08 x_{32} & +  0.59 x_{30} & -1.19 x_{24} & +  2.91 x_{3} & -14.27 x_{8} & -0.90 x_{1} & -8.78 x_{11} & + 21.14 x_{6} & -26.20 x_{13} & +  8.84 x_{14} & +  0.42 x_{25} & +  0.34 x_{31}\\
 x_{7}   &  0.413346798786 & -0.18 x_{12} & -0.00 x_{20} & -0.07 x_{26} & -0.35 x_{4} & +  0.03 x_{32} & +  0.01 x_{30} & +  0.05 x_{24} & +  0.01 x_{3} & +  0.25 x_{8} & -0.97 x_{1} & +  0.02 x_{11} & +  0.29 x_{6} & -0.08 x_{13} & -0.71 x_{14} & +  0.03 x_{25} & -0.00 x_{31}\\
 x_{16}   &  0.892766078845 & -0.84 x_{12} & +  0.07 x_{20} & +  0.06 x_{26} & +  0.65 x_{4} & -0.06 x_{32} & +  0.04 x_{30} & -0.06 x_{24} & -0.32 x_{3} & -0.18 x_{8} & +  2.43 x_{1} & +  0.79 x_{11} & -0.67 x_{6} & -0.48 x_{13} & +  0.96 x_{14} & -0.09 x_{25} & +  0.02 x_{31}\\
 x_{5}   &  0.195575962411 & +  0.09 x_{12} & +  0.03 x_{20} & +  0.01 x_{26} & +  0.49 x_{4} & -0.05 x_{32} & -0.02 x_{30} & -0.02 x_{24} & +  0.50 x_{3} & -0.35 x_{8} & +  0.56 x_{1} & -0.30 x_{11} & -0.35 x_{6} & -0.09 x_{13} & +  0.27 x_{14} & -0.01 x_{25} & -0.02 x_{31}\\
\hline
z    &  3.88161393581 & -0.21 x_{12} & -0.35 x_{20} & +  0.22 x_{26} & -3.84 x_{4} & +  0.04 x_{32} & +  0.01 x_{30} & +  0.45 x_{24} & -1.62 x_{3} & -0.27 x_{8} & -3.68 x_{1} & +  3.59 x_{11} & +  0.92 x_{6} & +  2.39 x_{13} & -5.12 x_{14} & +  0.57 x_{25} & -0.45 x_{31}\\
\end{array}\]


 $ x_{6} $ enters and $ x_{22} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{15}   &  0.897887662083 & -0.06 x_{12} & -0.07 x_{20} & -0.03 x_{26} & -0.17 x_{4} & +  0.00 x_{32} & -0.07 x_{30} & +  0.11 x_{24} & +  0.40 x_{3} & +  0.08 x_{8} & -1.93 x_{1} & -0.09 x_{11} & -0.01 x_{22} & +  0.92 x_{13} & -1.16 x_{14} & +  0.05 x_{25} & -0.03 x_{31}\\
 x_{18}   &  49.1343035418 & -8.08 x_{12} & +  1.25 x_{20} & +  0.90 x_{26} & +  2.88 x_{4} & -0.11 x_{32} & +  0.99 x_{30} & -1.64 x_{24} & -16.11 x_{3} & -13.59 x_{8} & + 35.06 x_{1} & -3.90 x_{11} & -0.20 x_{22} & -10.16 x_{13} & + 18.96 x_{14} & -0.63 x_{25} & +  1.08 x_{31}\\
 x_{19}   &  67.1504694108 & -6.85 x_{12} & +  2.31 x_{20} & +  0.39 x_{26} & +  7.28 x_{4} & +  0.76 x_{32} & +  1.40 x_{30} & -2.60 x_{24} & -3.45 x_{3} & +  3.67 x_{8} & + 26.90 x_{1} & -4.90 x_{11} & -1.58 x_{22} & -41.59 x_{13} & + 18.28 x_{14} & -1.08 x_{25} & +  1.86 x_{31}\\
 x_{10}   &  0.519801060898 & -0.65 x_{12} & -0.01 x_{20} & -0.04 x_{26} & -0.57 x_{4} & +  0.05 x_{32} & +  0.01 x_{30} & +  0.01 x_{24} & +  0.41 x_{3} & +  0.85 x_{8} & -1.05 x_{1} & +  0.46 x_{11} & -0.05 x_{22} & +  0.13 x_{13} & -0.03 x_{14} & -0.02 x_{25} & +  0.01 x_{31}\\
 x_{21}   &  62.9828417663 & -2.62 x_{12} & +  0.19 x_{20} & +  0.53 x_{26} & -10.84 x_{4} & -0.00 x_{32} & +  0.56 x_{30} & -0.20 x_{24} & -15.27 x_{3} & -15.89 x_{8} & + 17.14 x_{1} & -4.86 x_{11} & -0.25 x_{22} & -4.87 x_{13} & +  3.37 x_{14} & +  0.43 x_{25} & +  0.27 x_{31}\\
 x_{6}   &  0.531586974838 & -0.54 x_{12} & +  0.13 x_{20} & +  0.05 x_{26} & +  0.90 x_{4} & -0.00 x_{32} & +  0.05 x_{30} & -0.12 x_{24} & +  0.17 x_{3} & -0.05 x_{8} & +  2.26 x_{1} & +  0.18 x_{11} & -0.06 x_{22} & -1.42 x_{13} & +  0.87 x_{14} & -0.08 x_{25} & +  0.09 x_{31}\\
 x_{23}   &  33.0352528066 & -0.70 x_{12} & -0.29 x_{20} & +  0.64 x_{26} & -12.72 x_{4} & -0.04 x_{32} & +  0.83 x_{30} & -0.34 x_{24} & +  2.01 x_{3} & -14.37 x_{8} & +  0.75 x_{1} & + 12.32 x_{11} & -0.32 x_{22} & -10.58 x_{13} & + 22.16 x_{14} & +  0.21 x_{25} & -0.61 x_{31}\\
 x_{2}   &  0.937422276254 & -0.31 x_{12} & +  0.09 x_{20} & +  0.02 x_{26} & +  0.95 x_{4} & +  0.00 x_{32} & +  0.06 x_{30} & -0.15 x_{24} & +  0.66 x_{3} & +  0.25 x_{8} & +  1.72 x_{1} & -0.23 x_{11} & -0.08 x_{22} & -2.51 x_{13} & +  0.80 x_{14} & -0.06 x_{25} & +  0.14 x_{31}\\
 x_{17}   &  15.7097511067 & -5.65 x_{12} & +  0.14 x_{20} & -0.34 x_{26} & -5.36 x_{4} & +  0.62 x_{32} & +  0.15 x_{30} & -0.10 x_{24} & + 10.00 x_{3} & +  5.86 x_{8} & -16.46 x_{1} & +  6.70 x_{11} & -0.90 x_{22} & -15.14 x_{13} & -16.74 x_{14} & +  0.26 x_{25} & +  0.99 x_{31}\\
 x_{9}   &  1.91916315978 & -0.95 x_{12} & +  0.13 x_{20} & +  0.08 x_{26} & +  0.25 x_{4} & -0.00 x_{32} & +  0.13 x_{30} & -0.18 x_{24} & +  0.06 x_{3} & -0.65 x_{8} & +  2.88 x_{1} & +  0.23 x_{11} & -0.12 x_{22} & -3.00 x_{13} & +  1.75 x_{14} & -0.03 x_{25} & +  0.10 x_{31}\\
 x_{27}   &  22.3180620358 & +  5.04 x_{12} & -0.67 x_{20} & -0.65 x_{26} & -18.97 x_{4} & +  0.57 x_{32} & -0.22 x_{30} & +  1.57 x_{24} & -0.72 x_{3} & -8.43 x_{8} & -23.40 x_{1} & +  9.68 x_{11} & +  0.33 x_{22} & +  3.84 x_{13} & -16.21 x_{14} & +  1.10 x_{25} & -0.94 x_{31}\\
 x_{28}   &  28.1504691399 & -11.06 x_{12} & -0.82 x_{20} & +  0.49 x_{26} & -1.33 x_{4} & -0.33 x_{32} & +  0.40 x_{30} & +  0.09 x_{24} & + 10.87 x_{3} & +  4.78 x_{8} & +  1.52 x_{1} & + 13.52 x_{11} & -0.91 x_{22} & -1.59 x_{13} & -1.98 x_{14} & +  0.35 x_{25} & -0.19 x_{31}\\
 x_{29}   &  25.9680092841 & -2.65 x_{12} & +  2.94 x_{20} & +  0.89 x_{26} & + 21.79 x_{4} & -0.12 x_{32} & +  1.60 x_{30} & -3.70 x_{24} & +  6.57 x_{3} & -15.24 x_{8} & + 46.79 x_{1} & -4.94 x_{11} & -1.24 x_{22} & -56.18 x_{13} & + 27.13 x_{14} & -1.25 x_{25} & +  2.33 x_{31}\\
 x_{7}   &  0.568369706499 & -0.33 x_{12} & +  0.04 x_{20} & -0.05 x_{26} & -0.09 x_{4} & +  0.03 x_{32} & +  0.02 x_{30} & +  0.01 x_{24} & +  0.06 x_{3} & +  0.23 x_{8} & -0.31 x_{1} & +  0.07 x_{11} & -0.02 x_{22} & -0.49 x_{13} & -0.46 x_{14} & +  0.00 x_{25} & +  0.02 x_{31}\\
 x_{16}   &  0.538324142212 & -0.48 x_{12} & -0.02 x_{20} & +  0.03 x_{26} & +  0.05 x_{4} & -0.06 x_{32} & +  0.01 x_{30} & +  0.02 x_{24} & -0.44 x_{3} & -0.15 x_{8} & +  0.93 x_{1} & +  0.67 x_{11} & +  0.04 x_{22} & +  0.47 x_{13} & +  0.39 x_{14} & -0.03 x_{25} & -0.04 x_{31}\\
 x_{5}   &  0.0111592396413 & +  0.28 x_{12} & -0.01 x_{20} & -0.01 x_{26} & +  0.18 x_{4} & -0.05 x_{32} & -0.04 x_{30} & +  0.02 x_{24} & +  0.44 x_{3} & -0.33 x_{8} & -0.22 x_{1} & -0.36 x_{11} & +  0.02 x_{22} & +  0.40 x_{13} & -0.03 x_{14} & +  0.02 x_{25} & -0.06 x_{31}\\
\hline
z    &  4.37057900439 & -0.71 x_{12} & -0.23 x_{20} & +  0.26 x_{26} & -3.02 x_{4} & +  0.04 x_{32} & +  0.05 x_{30} & +  0.35 x_{24} & -1.46 x_{3} & -0.31 x_{8} & -1.61 x_{1} & +  3.76 x_{11} & -0.05 x_{22} & +  1.08 x_{13} & -4.32 x_{14} & +  0.50 x_{25} & -0.37 x_{31}\\
\end{array}\]


 $ x_{11} $ enters and $ x_{5} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{15}   &  0.895229653508 & -0.12 x_{12} & -0.07 x_{20} & -0.03 x_{26} & -0.21 x_{4} & +  0.01 x_{32} & -0.06 x_{30} & +  0.11 x_{24} & +  0.29 x_{3} & +  0.16 x_{8} & -1.88 x_{1} & +  0.24 x_{5} & -0.01 x_{22} & +  0.83 x_{13} & -1.16 x_{14} & +  0.05 x_{25} & -0.02 x_{31}\\
 x_{18}   &  49.013763729 & -11.08 x_{12} & +  1.40 x_{20} & +  0.99 x_{26} & +  0.92 x_{4} & +  0.38 x_{32} & +  1.39 x_{30} & -1.84 x_{24} & -20.88 x_{3} & -10.00 x_{8} & + 37.49 x_{1} & + 10.80 x_{5} & -0.42 x_{22} & -14.49 x_{13} & + 19.31 x_{14} & -0.83 x_{25} & +  1.69 x_{31}\\
 x_{19}   &  66.9990991827 & -10.62 x_{12} & +  2.50 x_{20} & +  0.50 x_{26} & +  4.82 x_{4} & +  1.39 x_{32} & +  1.90 x_{30} & -2.85 x_{24} & -9.44 x_{3} & +  8.19 x_{8} & + 29.94 x_{1} & + 13.56 x_{5} & -1.85 x_{22} & -47.02 x_{13} & + 18.72 x_{14} & -1.33 x_{25} & +  2.62 x_{31}\\
 x_{10}   &  0.534092315479 & -0.29 x_{12} & -0.03 x_{20} & -0.05 x_{26} & -0.34 x_{4} & -0.01 x_{32} & -0.04 x_{30} & +  0.04 x_{24} & +  0.97 x_{3} & +  0.43 x_{8} & -1.33 x_{1} & -1.28 x_{5} & -0.02 x_{22} & +  0.65 x_{13} & -0.07 x_{14} & +  0.00 x_{25} & -0.07 x_{31}\\
 x_{21}   &  62.832696849 & -6.36 x_{12} & +  0.37 x_{20} & +  0.64 x_{26} & -13.28 x_{4} & +  0.61 x_{32} & +  1.06 x_{30} & -0.45 x_{24} & -21.21 x_{3} & -11.41 x_{8} & + 20.16 x_{1} & + 13.45 x_{5} & -0.52 x_{22} & -10.26 x_{13} & +  3.81 x_{14} & +  0.18 x_{25} & +  1.03 x_{31}\\
 x_{6}   &  0.537185669372 & -0.40 x_{12} & +  0.12 x_{20} & +  0.04 x_{26} & +  0.99 x_{4} & -0.02 x_{32} & +  0.03 x_{30} & -0.11 x_{24} & +  0.40 x_{3} & -0.21 x_{8} & +  2.14 x_{1} & -0.50 x_{5} & -0.05 x_{22} & -1.22 x_{13} & +  0.85 x_{14} & -0.07 x_{25} & +  0.07 x_{31}\\
 x_{23}   &  33.4154899446 & +  8.77 x_{12} & -0.76 x_{20} & +  0.37 x_{26} & -6.54 x_{4} & -1.60 x_{32} & -0.43 x_{30} & +  0.30 x_{24} & + 17.05 x_{3} & -25.71 x_{8} & -6.90 x_{1} & -34.07 x_{5} & +  0.37 x_{22} & +  3.06 x_{13} & + 21.06 x_{14} & +  0.84 x_{25} & -2.52 x_{31}\\
 x_{2}   &  0.930292141013 & -0.49 x_{12} & +  0.10 x_{20} & +  0.03 x_{26} & +  0.84 x_{4} & +  0.03 x_{32} & +  0.09 x_{30} & -0.16 x_{24} & +  0.37 x_{3} & +  0.46 x_{8} & +  1.87 x_{1} & +  0.64 x_{5} & -0.09 x_{22} & -2.76 x_{13} & +  0.83 x_{14} & -0.07 x_{25} & +  0.18 x_{31}\\
 x_{17}   &  15.9164328164 & -0.50 x_{12} & -0.11 x_{20} & -0.49 x_{26} & -2.00 x_{4} & -0.23 x_{32} & -0.53 x_{30} & +  0.25 x_{24} & + 18.18 x_{3} & -0.31 x_{8} & -20.62 x_{1} & -18.52 x_{5} & -0.53 x_{22} & -7.72 x_{13} & -17.34 x_{14} & +  0.60 x_{25} & -0.05 x_{31}\\
 x_{9}   &  1.92638960197 & -0.77 x_{12} & +  0.12 x_{20} & +  0.08 x_{26} & +  0.36 x_{4} & -0.03 x_{32} & +  0.11 x_{30} & -0.17 x_{24} & +  0.34 x_{3} & -0.87 x_{8} & +  2.73 x_{1} & -0.65 x_{5} & -0.11 x_{22} & -2.74 x_{13} & +  1.73 x_{14} & -0.02 x_{25} & +  0.07 x_{31}\\
 x_{27}   &  22.6169817518 & + 12.48 x_{12} & -1.04 x_{20} & -0.87 x_{26} & -14.11 x_{4} & -0.66 x_{32} & -1.21 x_{30} & +  2.07 x_{24} & + 11.10 x_{3} & -17.35 x_{8} & -29.41 x_{1} & -26.79 x_{5} & +  0.87 x_{22} & + 14.57 x_{13} & -17.07 x_{14} & +  1.59 x_{25} & -2.44 x_{31}\\
 x_{28}   &  28.5677178296 & -0.67 x_{12} & -1.33 x_{20} & +  0.19 x_{26} & +  5.45 x_{4} & -2.05 x_{32} & -0.98 x_{30} & +  0.79 x_{24} & + 27.38 x_{3} & -7.67 x_{8} & -6.87 x_{1} & -37.39 x_{5} & -0.15 x_{22} & + 13.39 x_{13} & -3.19 x_{14} & +  1.04 x_{25} & -2.29 x_{31}\\
 x_{29}   &  25.8154266092 & -6.44 x_{12} & +  3.13 x_{20} & +  1.01 x_{26} & + 19.31 x_{4} & +  0.51 x_{32} & +  2.10 x_{30} & -3.96 x_{24} & +  0.54 x_{3} & -10.69 x_{8} & + 49.86 x_{1} & + 13.67 x_{5} & -1.52 x_{22} & -61.66 x_{13} & + 27.57 x_{14} & -1.50 x_{25} & +  3.10 x_{31}\\
 x_{7}   &  0.570654281353 & -0.28 x_{12} & +  0.03 x_{20} & -0.05 x_{26} & -0.05 x_{4} & +  0.02 x_{32} & +  0.01 x_{30} & +  0.02 x_{24} & +  0.15 x_{3} & +  0.16 x_{8} & -0.36 x_{1} & -0.20 x_{5} & -0.01 x_{22} & -0.41 x_{13} & -0.47 x_{14} & +  0.01 x_{25} & +  0.01 x_{31}\\
 x_{16}   &  0.558926667102 & +  0.03 x_{12} & -0.04 x_{20} & +  0.02 x_{26} & +  0.38 x_{4} & -0.15 x_{32} & -0.06 x_{30} & +  0.05 x_{24} & +  0.38 x_{3} & -0.76 x_{8} & +  0.51 x_{1} & -1.85 x_{5} & +  0.08 x_{22} & +  1.21 x_{13} & +  0.33 x_{14} & +  0.00 x_{25} & -0.15 x_{31}\\
 x_{11}   &  0.0308685067843 & +  0.77 x_{12} & -0.04 x_{20} & -0.02 x_{26} & +  0.50 x_{4} & -0.13 x_{32} & -0.10 x_{30} & +  0.05 x_{24} & +  1.22 x_{3} & -0.92 x_{8} & -0.62 x_{1} & -2.77 x_{5} & +  0.06 x_{22} & +  1.11 x_{13} & -0.09 x_{14} & +  0.05 x_{25} & -0.16 x_{31}\\
\hline
z    &  4.48664486749 & +  2.18 x_{12} & -0.37 x_{20} & +  0.17 x_{26} & -1.13 x_{4} & -0.44 x_{32} & -0.33 x_{30} & +  0.54 x_{24} & +  3.13 x_{3} & -3.77 x_{8} & -3.94 x_{1} & -10.40 x_{5} & +  0.16 x_{22} & +  5.25 x_{13} & -4.66 x_{14} & +  0.69 x_{25} & -0.95 x_{31}\\
\end{array}\]


 $ x_{3} $ enters and $ x_{18} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{15}   &  1.57808654386 & -0.28 x_{12} & -0.05 x_{20} & -0.01 x_{26} & -0.20 x_{4} & +  0.02 x_{32} & -0.04 x_{30} & +  0.08 x_{24} & -0.01 x_{18} & +  0.02 x_{8} & -1.36 x_{1} & +  0.39 x_{5} & -0.02 x_{22} & +  0.63 x_{13} & -0.89 x_{14} & +  0.04 x_{25} & +  0.00 x_{31}\\
 x_{3}   &  2.34724956719 & -0.53 x_{12} & +  0.07 x_{20} & +  0.05 x_{26} & +  0.04 x_{4} & +  0.02 x_{32} & +  0.07 x_{30} & -0.09 x_{24} & -0.05 x_{18} & -0.48 x_{8} & +  1.80 x_{1} & +  0.52 x_{5} & -0.02 x_{22} & -0.69 x_{13} & +  0.92 x_{14} & -0.04 x_{25} & +  0.08 x_{31}\\
 x_{19}   &  44.8424575243 & -5.62 x_{12} & +  1.87 x_{20} & +  0.06 x_{26} & +  4.41 x_{4} & +  1.21 x_{32} & +  1.27 x_{30} & -2.02 x_{24} & +  0.45 x_{18} & + 12.71 x_{8} & + 13.00 x_{1} & +  8.68 x_{5} & -1.66 x_{22} & -40.47 x_{13} & +  9.99 x_{14} & -0.96 x_{25} & +  1.86 x_{31}\\
 x_{10}   &  2.81369695563 & -0.81 x_{12} & +  0.03 x_{20} & -0.01 x_{26} & -0.30 x_{4} & +  0.01 x_{32} & +  0.03 x_{30} & -0.05 x_{24} & -0.05 x_{18} & -0.04 x_{8} & +  0.41 x_{1} & -0.78 x_{5} & -0.04 x_{22} & -0.03 x_{13} & +  0.83 x_{14} & -0.04 x_{25} & +  0.01 x_{31}\\
 x_{21}   &  13.0439520997 & +  4.89 x_{12} & -1.05 x_{20} & -0.36 x_{26} & -14.22 x_{4} & +  0.23 x_{32} & -0.35 x_{30} & +  1.42 x_{24} & +  1.02 x_{18} & -1.26 x_{8} & -17.91 x_{1} & +  2.48 x_{5} & -0.10 x_{22} & +  4.45 x_{13} & -15.81 x_{14} & +  1.02 x_{25} & -0.69 x_{31}\\
 x_{6}   &  1.46464762692 & -0.61 x_{12} & +  0.15 x_{20} & +  0.06 x_{26} & +  1.01 x_{4} & -0.02 x_{32} & +  0.06 x_{30} & -0.14 x_{24} & -0.02 x_{18} & -0.40 x_{8} & +  2.85 x_{1} & -0.30 x_{5} & -0.06 x_{22} & -1.49 x_{13} & +  1.21 x_{14} & -0.09 x_{25} & +  0.10 x_{31}\\
 x_{23}   &  73.4476673432 & -0.28 x_{12} & +  0.38 x_{20} & +  1.17 x_{26} & -5.79 x_{4} & -1.29 x_{32} & +  0.70 x_{30} & -1.20 x_{24} & -0.82 x_{18} & -33.87 x_{8} & + 23.72 x_{1} & -25.25 x_{5} & +  0.03 x_{22} & -8.77 x_{13} & + 36.83 x_{14} & +  0.16 x_{25} & -1.15 x_{31}\\
 x_{2}   &  1.81006934614 & -0.69 x_{12} & +  0.12 x_{20} & +  0.04 x_{26} & +  0.85 x_{4} & +  0.04 x_{32} & +  0.11 x_{30} & -0.20 x_{24} & -0.02 x_{18} & +  0.29 x_{8} & +  2.54 x_{1} & +  0.83 x_{5} & -0.10 x_{22} & -3.02 x_{13} & +  1.17 x_{14} & -0.09 x_{25} & +  0.21 x_{31}\\
 x_{17}   &  58.5841159178 & -10.15 x_{12} & +  1.11 x_{20} & +  0.37 x_{26} & -1.20 x_{4} & +  0.10 x_{32} & +  0.67 x_{30} & -1.35 x_{24} & -0.87 x_{18} & -9.01 x_{8} & + 12.02 x_{1} & -9.12 x_{5} & -0.89 x_{22} & -20.33 x_{13} & -0.53 x_{14} & -0.12 x_{25} & +  1.42 x_{31}\\
 x_{9}   &  2.73556182218 & -0.95 x_{12} & +  0.15 x_{20} & +  0.10 x_{26} & +  0.38 x_{4} & -0.02 x_{32} & +  0.13 x_{30} & -0.20 x_{24} & -0.02 x_{18} & -1.03 x_{8} & +  3.35 x_{1} & -0.47 x_{5} & -0.11 x_{22} & -2.98 x_{13} & +  2.04 x_{14} & -0.03 x_{25} & +  0.09 x_{31}\\
 x_{27}   &  48.6820582044 & +  6.59 x_{12} & -0.29 x_{20} & -0.34 x_{26} & -13.62 x_{4} & -0.45 x_{32} & -0.47 x_{30} & +  1.09 x_{24} & -0.53 x_{18} & -22.66 x_{8} & -9.48 x_{1} & -21.04 x_{5} & +  0.65 x_{22} & +  6.87 x_{13} & -6.81 x_{14} & +  1.16 x_{25} & -1.55 x_{31}\\
 x_{28}   &  92.8280451221 & -15.20 x_{12} & +  0.50 x_{20} & +  1.48 x_{26} & +  6.66 x_{4} & -1.55 x_{32} & +  0.84 x_{30} & -1.62 x_{24} & -1.31 x_{18} & -20.77 x_{8} & + 42.28 x_{1} & -23.23 x_{5} & -0.71 x_{22} & -5.61 x_{13} & + 22.13 x_{14} & -0.04 x_{25} & -0.08 x_{31}\\
 x_{29}   &  27.076078696 & -6.73 x_{12} & +  3.17 x_{20} & +  1.03 x_{26} & + 19.33 x_{4} & +  0.52 x_{32} & +  2.14 x_{30} & -4.01 x_{24} & -0.03 x_{18} & -10.94 x_{8} & + 50.83 x_{1} & + 13.95 x_{5} & -1.53 x_{22} & -62.03 x_{13} & + 28.07 x_{14} & -1.52 x_{25} & +  3.14 x_{31}\\
 x_{7}   &  0.914643151048 & -0.35 x_{12} & +  0.04 x_{20} & -0.05 x_{26} & -0.05 x_{4} & +  0.02 x_{32} & +  0.02 x_{30} & +  0.00 x_{24} & -0.01 x_{18} & +  0.09 x_{8} & -0.10 x_{1} & -0.13 x_{5} & -0.02 x_{22} & -0.51 x_{13} & -0.33 x_{14} & +  0.00 x_{25} & +  0.02 x_{31}\\
 x_{16}   &  1.44018445432 & -0.17 x_{12} & -0.02 x_{20} & +  0.04 x_{26} & +  0.40 x_{4} & -0.14 x_{32} & -0.03 x_{30} & +  0.02 x_{24} & -0.02 x_{18} & -0.94 x_{8} & +  1.19 x_{1} & -1.65 x_{5} & +  0.07 x_{22} & +  0.95 x_{13} & +  0.67 x_{14} & -0.01 x_{25} & -0.12 x_{31}\\
 x_{11}   &  2.89782393222 & +  0.12 x_{12} & +  0.04 x_{20} & +  0.04 x_{26} & +  0.56 x_{4} & -0.10 x_{32} & -0.02 x_{30} & -0.06 x_{24} & -0.06 x_{18} & -1.51 x_{8} & +  1.57 x_{1} & -2.13 x_{5} & +  0.03 x_{22} & +  0.26 x_{13} & +  1.04 x_{14} & +  0.00 x_{25} & -0.06 x_{31}\\
\hline
z    &  11.8381761723 & +  0.52 x_{12} & -0.16 x_{20} & +  0.32 x_{26} & -0.99 x_{4} & -0.38 x_{32} & -0.12 x_{30} & +  0.26 x_{24} & -0.15 x_{18} & -5.27 x_{8} & +  1.68 x_{1} & -8.78 x_{5} & +  0.09 x_{22} & +  3.08 x_{13} & -1.76 x_{14} & +  0.57 x_{25} & -0.70 x_{31}\\
\end{array}\]


 $ x_{1} $ enters and $ x_{21} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{15}   &  0.588465556255 & -0.65 x_{12} & +  0.03 x_{20} & +  0.01 x_{26} & +  0.88 x_{4} & +  0.00 x_{32} & -0.01 x_{30} & -0.03 x_{24} & -0.09 x_{18} & +  0.11 x_{8} & +  0.08 x_{21} & +  0.20 x_{5} & -0.01 x_{22} & +  0.29 x_{13} & +  0.31 x_{14} & -0.04 x_{25} & +  0.05 x_{31}\\
 x_{3}   &  3.6543092119 & -0.04 x_{12} & -0.04 x_{20} & +  0.01 x_{26} & -1.38 x_{4} & +  0.04 x_{32} & +  0.03 x_{30} & +  0.05 x_{24} & +  0.05 x_{18} & -0.60 x_{8} & -0.10 x_{21} & +  0.77 x_{5} & -0.03 x_{22} & -0.25 x_{13} & -0.66 x_{14} & +  0.06 x_{25} & +  0.01 x_{31}\\
 x_{19}   &  54.3055586269 & -2.07 x_{12} & +  1.11 x_{20} & -0.20 x_{26} & -5.91 x_{4} & +  1.38 x_{32} & +  1.02 x_{30} & -0.98 x_{24} & +  1.19 x_{18} & + 11.80 x_{8} & -0.73 x_{21} & + 10.48 x_{5} & -1.73 x_{22} & -37.24 x_{13} & -1.48 x_{14} & -0.22 x_{25} & +  1.36 x_{31}\\
 x_{10}   &  3.11215434875 & -0.70 x_{12} & +  0.01 x_{20} & -0.01 x_{26} & -0.62 x_{4} & +  0.01 x_{32} & +  0.02 x_{30} & -0.02 x_{24} & -0.02 x_{18} & -0.07 x_{8} & -0.02 x_{21} & -0.72 x_{5} & -0.05 x_{22} & +  0.07 x_{13} & +  0.47 x_{14} & -0.01 x_{25} & -0.00 x_{31}\\
 x_{1}   &  0.728102494656 & +  0.27 x_{12} & -0.06 x_{20} & -0.02 x_{26} & -0.79 x_{4} & +  0.01 x_{32} & -0.02 x_{30} & +  0.08 x_{24} & +  0.06 x_{18} & -0.07 x_{8} & -0.06 x_{21} & +  0.14 x_{5} & -0.01 x_{22} & +  0.25 x_{13} & -0.88 x_{14} & +  0.06 x_{25} & -0.04 x_{31}\\
 x_{6}   &  3.54209541141 & +  0.17 x_{12} & -0.02 x_{20} & +  0.00 x_{26} & -1.26 x_{4} & +  0.02 x_{32} & -0.00 x_{30} & +  0.08 x_{24} & +  0.14 x_{18} & -0.60 x_{8} & -0.16 x_{21} & +  0.10 x_{5} & -0.07 x_{22} & -0.78 x_{13} & -1.30 x_{14} & +  0.08 x_{25} & -0.01 x_{31}\\
 x_{23}   &  90.7189752197 & +  6.19 x_{12} & -1.00 x_{20} & +  0.70 x_{26} & -24.62 x_{4} & -0.99 x_{32} & +  0.24 x_{30} & +  0.68 x_{24} & +  0.53 x_{18} & -35.53 x_{8} & -1.32 x_{21} & -21.96 x_{5} & -0.10 x_{22} & -2.87 x_{13} & + 15.90 x_{14} & +  1.52 x_{25} & -2.05 x_{31}\\
 x_{2}   &  3.65882025625 & +  0.00 x_{12} & -0.03 x_{20} & -0.01 x_{26} & -1.16 x_{4} & +  0.07 x_{32} & +  0.06 x_{30} & +  0.00 x_{24} & +  0.13 x_{18} & +  0.11 x_{8} & -0.14 x_{21} & +  1.18 x_{5} & -0.12 x_{22} & -2.39 x_{13} & -1.07 x_{14} & +  0.06 x_{25} & +  0.11 x_{31}\\
 x_{17}   &  67.3334052535 & -6.87 x_{12} & +  0.40 x_{20} & +  0.13 x_{26} & -10.73 x_{4} & +  0.25 x_{32} & +  0.44 x_{30} & -0.40 x_{24} & -0.19 x_{18} & -9.85 x_{8} & -0.67 x_{21} & -7.45 x_{5} & -0.96 x_{22} & -17.34 x_{13} & -11.14 x_{14} & +  0.57 x_{25} & +  0.96 x_{31}\\
 x_{9}   &  5.17702264852 & -0.04 x_{12} & -0.05 x_{20} & +  0.03 x_{26} & -2.28 x_{4} & +  0.02 x_{32} & +  0.06 x_{30} & +  0.07 x_{24} & +  0.17 x_{18} & -1.27 x_{8} & -0.19 x_{21} & -0.00 x_{5} & -0.13 x_{22} & -2.15 x_{13} & -0.92 x_{14} & +  0.16 x_{25} & -0.03 x_{31}\\
 x_{27}   &  41.7825353422 & +  4.00 x_{12} & +  0.26 x_{20} & -0.15 x_{26} & -6.09 x_{4} & -0.57 x_{32} & -0.28 x_{30} & +  0.34 x_{24} & -1.07 x_{18} & -22.00 x_{8} & +  0.53 x_{21} & -22.36 x_{5} & +  0.70 x_{22} & +  4.51 x_{13} & +  1.56 x_{14} & +  0.61 x_{25} & -1.18 x_{31}\\
 x_{28}   &  123.608863148 & -3.66 x_{12} & -1.97 x_{20} & +  0.63 x_{26} & -26.89 x_{4} & -1.01 x_{32} & +  0.01 x_{30} & +  1.73 x_{24} & +  1.09 x_{18} & -23.74 x_{8} & -2.36 x_{21} & -17.37 x_{5} & -0.93 x_{22} & +  4.90 x_{13} & -15.18 x_{14} & +  2.37 x_{25} & -1.70 x_{31}\\
 x_{29}   &  64.0829756242 & +  7.15 x_{12} & +  0.20 x_{20} & +  0.01 x_{26} & -21.01 x_{4} & +  1.16 x_{32} & +  1.14 x_{30} & +  0.03 x_{24} & +  2.86 x_{18} & -14.51 x_{8} & -2.84 x_{21} & + 20.99 x_{5} & -1.80 x_{22} & -49.40 x_{13} & -16.79 x_{14} & +  1.38 x_{25} & +  1.19 x_{31}\\
 x_{7}   &  0.84506770471 & -0.38 x_{12} & +  0.05 x_{20} & -0.04 x_{26} & +  0.03 x_{4} & +  0.02 x_{32} & +  0.03 x_{30} & -0.00 x_{24} & -0.01 x_{18} & +  0.10 x_{8} & +  0.01 x_{21} & -0.14 x_{5} & -0.02 x_{22} & -0.53 x_{13} & -0.25 x_{14} & -0.01 x_{25} & +  0.03 x_{31}\\
 x_{16}   &  2.30448043724 & +  0.16 x_{12} & -0.09 x_{20} & +  0.01 x_{26} & -0.54 x_{4} & -0.13 x_{32} & -0.05 x_{30} & +  0.11 x_{24} & +  0.05 x_{18} & -1.03 x_{8} & -0.07 x_{21} & -1.49 x_{5} & +  0.06 x_{22} & +  1.24 x_{13} & -0.37 x_{14} & +  0.05 x_{25} & -0.16 x_{31}\\
 x_{11}   &  4.04209517702 & +  0.55 x_{12} & -0.05 x_{20} & +  0.00 x_{26} & -0.69 x_{4} & -0.08 x_{32} & -0.05 x_{30} & +  0.07 x_{24} & +  0.03 x_{18} & -1.62 x_{8} & -0.09 x_{21} & -1.92 x_{5} & +  0.02 x_{22} & +  0.65 x_{13} & -0.35 x_{14} & +  0.09 x_{25} & -0.12 x_{31}\\
\hline
z    &  13.0613674174 & +  0.98 x_{12} & -0.26 x_{20} & +  0.29 x_{26} & -2.32 x_{4} & -0.36 x_{32} & -0.16 x_{30} & +  0.40 x_{24} & -0.05 x_{18} & -5.39 x_{8} & -0.09 x_{21} & -8.55 x_{5} & +  0.09 x_{22} & +  3.49 x_{13} & -3.25 x_{14} & +  0.66 x_{25} & -0.76 x_{31}\\
\end{array}\]


 $ x_{12} $ enters and $ x_{15} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{12}   &  0.907623516102 & -1.54 x_{15} & +  0.04 x_{20} & +  0.02 x_{26} & +  1.36 x_{4} & +  0.00 x_{32} & -0.02 x_{30} & -0.04 x_{24} & -0.14 x_{18} & +  0.17 x_{8} & +  0.12 x_{21} & +  0.31 x_{5} & -0.01 x_{22} & +  0.45 x_{13} & +  0.48 x_{14} & -0.06 x_{25} & +  0.08 x_{31}\\
 x_{3}   &  3.61762119696 & +  0.06 x_{15} & -0.04 x_{20} & +  0.01 x_{26} & -1.44 x_{4} & +  0.04 x_{32} & +  0.03 x_{30} & +  0.06 x_{24} & +  0.06 x_{18} & -0.61 x_{8} & -0.10 x_{21} & +  0.75 x_{5} & -0.03 x_{22} & -0.27 x_{13} & -0.68 x_{14} & +  0.07 x_{25} & +  0.01 x_{31}\\
 x_{19}   &  52.4301964613 & +  3.19 x_{15} & +  1.02 x_{20} & -0.25 x_{26} & -8.71 x_{4} & +  1.37 x_{32} & +  1.06 x_{30} & -0.90 x_{24} & +  1.48 x_{18} & + 11.43 x_{8} & -0.97 x_{21} & +  9.84 x_{5} & -1.70 x_{22} & -38.16 x_{13} & -2.48 x_{14} & -0.09 x_{25} & +  1.19 x_{31}\\
 x_{10}   &  2.47831276348 & +  1.08 x_{15} & -0.02 x_{20} & -0.03 x_{26} & -1.57 x_{4} & +  0.01 x_{32} & +  0.04 x_{30} & +  0.01 x_{24} & +  0.07 x_{18} & -0.19 x_{8} & -0.10 x_{21} & -0.94 x_{5} & -0.04 x_{22} & -0.24 x_{13} & +  0.13 x_{14} & +  0.03 x_{25} & -0.06 x_{31}\\
 x_{1}   &  0.975930175521 & -0.42 x_{15} & -0.05 x_{20} & -0.01 x_{26} & -0.42 x_{4} & +  0.01 x_{32} & -0.03 x_{30} & +  0.07 x_{24} & +  0.02 x_{18} & -0.02 x_{8} & -0.02 x_{21} & +  0.22 x_{5} & -0.01 x_{22} & +  0.37 x_{13} & -0.75 x_{14} & +  0.04 x_{25} & -0.02 x_{31}\\
 x_{6}   &  3.69748335327 & -0.26 x_{15} & -0.01 x_{20} & +  0.01 x_{26} & -1.02 x_{4} & +  0.02 x_{32} & -0.00 x_{30} & +  0.08 x_{24} & +  0.12 x_{18} & -0.57 x_{8} & -0.14 x_{21} & +  0.15 x_{5} & -0.07 x_{22} & -0.71 x_{13} & -1.22 x_{14} & +  0.07 x_{25} & +  0.00 x_{31}\\
 x_{23}   &  96.3413968624 & -9.55 x_{15} & -0.73 x_{20} & +  0.84 x_{26} & -16.22 x_{4} & -0.97 x_{32} & +  0.10 x_{30} & +  0.43 x_{24} & -0.34 x_{18} & -34.45 x_{8} & -0.60 x_{21} & -20.05 x_{5} & -0.19 x_{22} & -0.11 x_{13} & + 18.88 x_{14} & +  1.13 x_{25} & -1.54 x_{31}\\
 x_{2}   &  3.66096856282 & -0.00 x_{15} & -0.03 x_{20} & -0.01 x_{26} & -1.16 x_{4} & +  0.07 x_{32} & +  0.06 x_{30} & +  0.00 x_{24} & +  0.13 x_{18} & +  0.11 x_{8} & -0.14 x_{21} & +  1.19 x_{5} & -0.12 x_{22} & -2.39 x_{13} & -1.07 x_{14} & +  0.06 x_{25} & +  0.11 x_{31}\\
 x_{17}   &  61.1013900078 & + 10.59 x_{15} & +  0.11 x_{20} & -0.03 x_{26} & -20.04 x_{4} & +  0.23 x_{32} & +  0.59 x_{30} & -0.12 x_{24} & +  0.77 x_{18} & -11.05 x_{8} & -1.47 x_{21} & -9.57 x_{5} & -0.86 x_{22} & -20.40 x_{13} & -14.45 x_{14} & +  1.00 x_{25} & +  0.39 x_{31}\\
 x_{9}   &  5.1440951183 & +  0.06 x_{15} & -0.05 x_{20} & +  0.03 x_{26} & -2.33 x_{4} & +  0.02 x_{32} & +  0.06 x_{30} & +  0.07 x_{24} & +  0.18 x_{18} & -1.27 x_{8} & -0.19 x_{21} & -0.02 x_{5} & -0.13 x_{22} & -2.16 x_{13} & -0.93 x_{14} & +  0.16 x_{25} & -0.04 x_{31}\\
 x_{27}   &  45.415809458 & -6.17 x_{15} & +  0.44 x_{20} & -0.06 x_{26} & -0.67 x_{4} & -0.56 x_{32} & -0.37 x_{30} & +  0.18 x_{24} & -1.63 x_{18} & -21.30 x_{8} & +  1.00 x_{21} & -21.12 x_{5} & +  0.64 x_{22} & +  6.30 x_{13} & +  3.49 x_{14} & +  0.36 x_{25} & -0.85 x_{31}\\
 x_{28}   &  120.291164071 & +  5.64 x_{15} & -2.13 x_{20} & +  0.55 x_{26} & -31.85 x_{4} & -1.02 x_{32} & +  0.09 x_{30} & +  1.88 x_{24} & +  1.60 x_{18} & -24.37 x_{8} & -2.79 x_{21} & -18.50 x_{5} & -0.88 x_{22} & +  3.27 x_{13} & -16.94 x_{14} & +  2.60 x_{25} & -2.01 x_{31}\\
 x_{29}   &  70.5718297074 & -11.03 x_{15} & +  0.51 x_{20} & +  0.18 x_{26} & -11.32 x_{4} & +  1.19 x_{32} & +  0.99 x_{30} & -0.26 x_{24} & +  1.85 x_{18} & -13.26 x_{8} & -2.00 x_{21} & + 23.20 x_{5} & -1.90 x_{22} & -46.21 x_{13} & -13.34 x_{14} & +  0.93 x_{25} & +  1.79 x_{31}\\
 x_{7}   &  0.500281669607 & +  0.59 x_{15} & +  0.03 x_{20} & -0.05 x_{26} & -0.49 x_{4} & +  0.02 x_{32} & +  0.03 x_{30} & +  0.01 x_{24} & +  0.04 x_{18} & +  0.03 x_{8} & -0.04 x_{21} & -0.26 x_{5} & -0.01 x_{22} & -0.70 x_{13} & -0.43 x_{14} & +  0.02 x_{25} & -0.00 x_{31}\\
 x_{16}   &  2.44742376617 & -0.24 x_{15} & -0.08 x_{20} & +  0.02 x_{26} & -0.33 x_{4} & -0.12 x_{32} & -0.06 x_{30} & +  0.11 x_{24} & +  0.03 x_{18} & -1.00 x_{8} & -0.05 x_{21} & -1.44 x_{5} & +  0.06 x_{22} & +  1.31 x_{13} & -0.30 x_{14} & +  0.04 x_{25} & -0.15 x_{31}\\
 x_{11}   &  4.54090728033 & -0.85 x_{15} & -0.02 x_{20} & +  0.02 x_{26} & +  0.05 x_{4} & -0.08 x_{32} & -0.06 x_{30} & +  0.05 x_{24} & -0.05 x_{18} & -1.52 x_{8} & -0.02 x_{21} & -1.75 x_{5} & +  0.02 x_{22} & +  0.90 x_{13} & -0.08 x_{14} & +  0.06 x_{25} & -0.07 x_{31}\\
\hline
z    &  13.9502295185 & -1.51 x_{15} & -0.22 x_{20} & +  0.31 x_{26} & -1.00 x_{4} & -0.36 x_{32} & -0.18 x_{30} & +  0.36 x_{24} & -0.19 x_{18} & -5.22 x_{8} & +  0.02 x_{21} & -8.25 x_{5} & +  0.07 x_{22} & +  3.93 x_{13} & -2.77 x_{14} & +  0.60 x_{25} & -0.68 x_{31}\\
\end{array}\]


 $ x_{13} $ enters and $ x_{7} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{12}   &  1.22508237855 & -1.17 x_{15} & +  0.06 x_{20} & -0.01 x_{26} & +  1.05 x_{4} & +  0.01 x_{32} & -0.00 x_{30} & -0.03 x_{24} & -0.11 x_{18} & +  0.20 x_{8} & +  0.09 x_{21} & +  0.14 x_{5} & -0.02 x_{22} & -0.63 x_{7} & +  0.21 x_{14} & -0.05 x_{25} & +  0.08 x_{31}\\
 x_{3}   &  3.42829892486 & -0.16 x_{15} & -0.05 x_{20} & +  0.03 x_{26} & -1.25 x_{4} & +  0.03 x_{32} & +  0.02 x_{30} & +  0.05 x_{24} & +  0.04 x_{18} & -0.62 x_{8} & -0.09 x_{21} & +  0.85 x_{5} & -0.03 x_{22} & +  0.38 x_{7} & -0.52 x_{14} & +  0.06 x_{25} & +  0.01 x_{31}\\
 x_{19}   &  25.2290137486 & -28.67 x_{15} & -0.75 x_{20} & +  2.65 x_{26} & + 17.68 x_{4} & +  0.43 x_{32} & -0.78 x_{30} & -1.55 x_{24} & -0.74 x_{18} & +  9.58 x_{8} & +  1.16 x_{21} & + 23.96 x_{5} & -1.16 x_{22} & + 54.37 x_{7} & + 20.86 x_{14} & -1.13 x_{25} & +  1.37 x_{31}\\
 x_{10}   &  2.30961654233 & +  0.88 x_{15} & -0.03 x_{20} & -0.01 x_{26} & -1.41 x_{4} & +  0.00 x_{32} & +  0.02 x_{30} & +  0.01 x_{24} & +  0.06 x_{18} & -0.20 x_{8} & -0.09 x_{21} & -0.85 x_{5} & -0.03 x_{22} & +  0.34 x_{7} & +  0.28 x_{14} & +  0.02 x_{25} & -0.06 x_{31}\\
 x_{1}   &  1.2397600933 & -0.11 x_{15} & -0.03 x_{20} & -0.04 x_{26} & -0.68 x_{4} & +  0.02 x_{32} & -0.01 x_{30} & +  0.07 x_{24} & +  0.04 x_{18} & -0.00 x_{8} & -0.04 x_{21} & +  0.09 x_{5} & -0.01 x_{22} & -0.53 x_{7} & -0.98 x_{14} & +  0.05 x_{25} & -0.02 x_{31}\\
 x_{6}   &  3.19425641704 & -0.85 x_{15} & -0.04 x_{20} & +  0.06 x_{26} & -0.54 x_{4} & +  0.00 x_{32} & -0.04 x_{30} & +  0.06 x_{24} & +  0.08 x_{18} & -0.61 x_{8} & -0.10 x_{21} & +  0.41 x_{5} & -0.06 x_{22} & +  1.01 x_{7} & -0.79 x_{14} & +  0.05 x_{25} & +  0.01 x_{31}\\
 x_{23}   &  96.2608501651 & -9.65 x_{15} & -0.74 x_{20} & +  0.85 x_{26} & -16.14 x_{4} & -0.97 x_{32} & +  0.10 x_{30} & +  0.43 x_{24} & -0.35 x_{18} & -34.46 x_{8} & -0.59 x_{21} & -20.01 x_{5} & -0.19 x_{22} & +  0.16 x_{7} & + 18.95 x_{14} & +  1.12 x_{25} & -1.54 x_{31}\\
 x_{2}   &  1.95782938979 & -2.00 x_{15} & -0.14 x_{20} & +  0.18 x_{26} & +  0.49 x_{4} & +  0.01 x_{32} & -0.05 x_{30} & -0.04 x_{24} & -0.01 x_{18} & -0.01 x_{8} & -0.01 x_{21} & +  2.07 x_{5} & -0.08 x_{22} & +  3.40 x_{7} & +  0.39 x_{14} & -0.01 x_{25} & +  0.12 x_{31}\\
 x_{17}   &  46.5593854562 & -6.44 x_{15} & -0.84 x_{20} & +  1.52 x_{26} & -5.93 x_{4} & -0.27 x_{32} & -0.40 x_{30} & -0.47 x_{24} & -0.41 x_{18} & -12.04 x_{8} & -0.34 x_{21} & -2.03 x_{5} & -0.57 x_{22} & + 29.07 x_{7} & -1.97 x_{14} & +  0.45 x_{25} & +  0.48 x_{31}\\
 x_{9}   &  3.60201122728 & -1.75 x_{15} & -0.15 x_{20} & +  0.19 x_{26} & -0.84 x_{4} & -0.04 x_{32} & -0.04 x_{30} & +  0.03 x_{24} & +  0.05 x_{18} & -1.38 x_{8} & -0.07 x_{21} & +  0.78 x_{5} & -0.10 x_{22} & +  3.08 x_{7} & +  0.39 x_{14} & +  0.10 x_{25} & -0.03 x_{31}\\
 x_{27}   &  49.9041762821 & -0.92 x_{15} & +  0.73 x_{20} & -0.54 x_{26} & -5.02 x_{4} & -0.40 x_{32} & -0.07 x_{30} & +  0.28 x_{24} & -1.26 x_{18} & -20.99 x_{8} & +  0.65 x_{21} & -23.45 x_{5} & +  0.55 x_{22} & -8.97 x_{7} & -0.36 x_{14} & +  0.53 x_{25} & -0.88 x_{31}\\
 x_{28}   &  122.622858987 & +  8.37 x_{15} & -1.98 x_{20} & +  0.30 x_{26} & -34.11 x_{4} & -0.94 x_{32} & +  0.25 x_{30} & +  1.94 x_{24} & +  1.79 x_{18} & -24.21 x_{8} & -2.97 x_{21} & -19.71 x_{5} & -0.93 x_{22} & -4.66 x_{7} & -18.94 x_{14} & +  2.69 x_{25} & -2.02 x_{31}\\
 x_{29}   &  37.6318285156 & -49.60 x_{15} & -1.63 x_{20} & +  3.70 x_{26} & + 20.65 x_{4} & +  0.05 x_{32} & -1.25 x_{30} & -1.05 x_{24} & -0.84 x_{18} & -15.50 x_{8} & +  0.58 x_{21} & + 40.29 x_{5} & -1.24 x_{22} & + 65.84 x_{7} & + 14.92 x_{14} & -0.33 x_{25} & +  2.01 x_{31}\\
 x_{13}   &  0.71277347927 & +  0.83 x_{15} & +  0.05 x_{20} & -0.08 x_{26} & -0.69 x_{4} & +  0.02 x_{32} & +  0.05 x_{30} & +  0.02 x_{24} & +  0.06 x_{18} & +  0.05 x_{8} & -0.06 x_{21} & -0.37 x_{5} & -0.01 x_{22} & -1.42 x_{7} & -0.61 x_{14} & +  0.03 x_{25} & -0.00 x_{31}\\
 x_{16}   &  3.38334895639 & +  0.85 x_{15} & -0.02 x_{20} & -0.08 x_{26} & -1.24 x_{4} & -0.09 x_{32} & +  0.01 x_{30} & +  0.13 x_{24} & +  0.10 x_{18} & -0.93 x_{8} & -0.12 x_{21} & -1.92 x_{5} & +  0.04 x_{22} & -1.87 x_{7} & -1.10 x_{14} & +  0.08 x_{25} & -0.15 x_{31}\\
 x_{11}   &  5.17957643359 & -0.10 x_{15} & +  0.02 x_{20} & -0.05 x_{26} & -0.57 x_{4} & -0.06 x_{32} & -0.02 x_{30} & +  0.06 x_{24} & +  0.01 x_{18} & -1.48 x_{8} & -0.07 x_{21} & -2.08 x_{5} & +  0.00 x_{22} & -1.28 x_{7} & -0.63 x_{14} & +  0.08 x_{25} & -0.08 x_{31}\\
\hline
z    &  16.7521280769 & +  1.77 x_{15} & -0.03 x_{20} & +  0.01 x_{26} & -3.72 x_{4} & -0.26 x_{32} & +  0.01 x_{30} & +  0.42 x_{24} & +  0.04 x_{18} & -5.03 x_{8} & -0.20 x_{21} & -9.70 x_{5} & +  0.02 x_{22} & -5.60 x_{7} & -5.18 x_{14} & +  0.71 x_{25} & -0.70 x_{31}\\
\end{array}\]


 $ x_{15} $ enters and $ x_{29} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{12}   &  0.337050448606 & +  0.02 x_{29} & +  0.10 x_{20} & -0.10 x_{26} & +  0.56 x_{4} & +  0.01 x_{32} & +  0.03 x_{30} & -0.01 x_{24} & -0.09 x_{18} & +  0.56 x_{8} & +  0.08 x_{21} & -0.81 x_{5} & +  0.01 x_{22} & -2.19 x_{7} & -0.14 x_{14} & -0.04 x_{25} & +  0.03 x_{31}\\
 x_{3}   &  3.30738717523 & +  0.00 x_{29} & -0.05 x_{20} & +  0.02 x_{26} & -1.32 x_{4} & +  0.03 x_{32} & +  0.02 x_{30} & +  0.05 x_{24} & +  0.05 x_{18} & -0.57 x_{8} & -0.09 x_{21} & +  0.72 x_{5} & -0.02 x_{22} & +  0.17 x_{7} & -0.56 x_{14} & +  0.06 x_{25} & +  0.00 x_{31}\\
 x_{19}   &  3.47897265219 & +  0.58 x_{29} & +  0.19 x_{20} & +  0.52 x_{26} & +  5.75 x_{4} & +  0.40 x_{32} & -0.06 x_{30} & -0.95 x_{24} & -0.26 x_{18} & + 18.54 x_{8} & +  0.83 x_{21} & +  0.67 x_{5} & -0.44 x_{22} & + 16.32 x_{7} & + 12.23 x_{14} & -0.94 x_{25} & +  0.21 x_{31}\\
 x_{10}   &  2.97686762714 & -0.02 x_{29} & -0.06 x_{20} & +  0.05 x_{26} & -1.04 x_{4} & +  0.00 x_{32} & +  0.00 x_{30} & -0.01 x_{24} & +  0.05 x_{18} & -0.48 x_{8} & -0.08 x_{21} & -0.14 x_{5} & -0.05 x_{22} & +  1.50 x_{7} & +  0.54 x_{14} & +  0.02 x_{25} & -0.02 x_{31}\\
 x_{1}   &  1.15467389775 & +  0.00 x_{29} & -0.03 x_{20} & -0.05 x_{26} & -0.73 x_{4} & +  0.02 x_{32} & -0.00 x_{30} & +  0.08 x_{24} & +  0.04 x_{18} & +  0.03 x_{8} & -0.05 x_{21} & -0.01 x_{5} & -0.01 x_{22} & -0.68 x_{7} & -1.01 x_{14} & +  0.05 x_{25} & -0.02 x_{31}\\
 x_{6}   &  2.54682652911 & +  0.02 x_{29} & -0.02 x_{20} & -0.00 x_{26} & -0.89 x_{4} & +  0.00 x_{32} & -0.02 x_{30} & +  0.08 x_{24} & +  0.09 x_{18} & -0.34 x_{8} & -0.11 x_{21} & -0.28 x_{5} & -0.04 x_{22} & -0.13 x_{7} & -1.05 x_{14} & +  0.05 x_{25} & -0.03 x_{31}\\
 x_{23}   &  88.9409860898 & +  0.19 x_{29} & -0.42 x_{20} & +  0.13 x_{26} & -20.16 x_{4} & -0.98 x_{32} & +  0.34 x_{30} & +  0.63 x_{24} & -0.18 x_{18} & -31.44 x_{8} & -0.70 x_{21} & -27.85 x_{5} & +  0.06 x_{22} & -12.65 x_{7} & + 16.05 x_{14} & +  1.19 x_{25} & -1.93 x_{31}\\
 x_{2}   &  0.441854176672 & +  0.04 x_{29} & -0.07 x_{20} & +  0.03 x_{26} & -0.34 x_{4} & +  0.01 x_{32} & -0.00 x_{30} & +  0.01 x_{24} & +  0.02 x_{18} & +  0.62 x_{8} & -0.03 x_{21} & +  0.45 x_{5} & -0.03 x_{22} & +  0.75 x_{7} & -0.21 x_{14} & +  0.01 x_{25} & +  0.04 x_{31}\\
 x_{17}   &  41.6732746918 & +  0.13 x_{29} & -0.63 x_{20} & +  1.04 x_{26} & -8.61 x_{4} & -0.28 x_{32} & -0.24 x_{30} & -0.33 x_{24} & -0.30 x_{18} & -10.03 x_{8} & -0.41 x_{21} & -7.26 x_{5} & -0.41 x_{22} & + 20.52 x_{7} & -3.91 x_{14} & +  0.49 x_{25} & +  0.22 x_{31}\\
 x_{9}   &  2.27434944755 & +  0.04 x_{29} & -0.09 x_{20} & +  0.06 x_{26} & -1.56 x_{4} & -0.04 x_{32} & +  0.00 x_{30} & +  0.07 x_{24} & +  0.08 x_{18} & -0.83 x_{8} & -0.09 x_{21} & -0.64 x_{5} & -0.06 x_{22} & +  0.76 x_{7} & -0.14 x_{14} & +  0.11 x_{25} & -0.10 x_{31}\\
 x_{27}   &  49.2080664188 & +  0.02 x_{29} & +  0.76 x_{20} & -0.61 x_{26} & -5.41 x_{4} & -0.41 x_{32} & -0.04 x_{30} & +  0.30 x_{24} & -1.25 x_{18} & -20.71 x_{8} & +  0.64 x_{21} & -24.19 x_{5} & +  0.57 x_{22} & -10.19 x_{7} & -0.64 x_{14} & +  0.54 x_{25} & -0.92 x_{31}\\
 x_{28}   &  128.97162733 & -0.17 x_{29} & -2.25 x_{20} & +  0.92 x_{26} & -30.63 x_{4} & -0.94 x_{32} & +  0.04 x_{30} & +  1.76 x_{24} & +  1.65 x_{18} & -26.83 x_{8} & -2.87 x_{21} & -12.91 x_{5} & -1.14 x_{22} & +  6.45 x_{7} & -16.42 x_{14} & +  2.63 x_{25} & -1.68 x_{31}\\
 x_{15}   &  0.758636600832 & -0.02 x_{29} & -0.03 x_{20} & +  0.07 x_{26} & +  0.42 x_{4} & +  0.00 x_{32} & -0.03 x_{30} & -0.02 x_{24} & -0.02 x_{18} & -0.31 x_{8} & +  0.01 x_{21} & +  0.81 x_{5} & -0.03 x_{22} & +  1.33 x_{7} & +  0.30 x_{14} & -0.01 x_{25} & +  0.04 x_{31}\\
 x_{13}   &  1.34605869951 & -0.02 x_{29} & +  0.02 x_{20} & -0.01 x_{26} & -0.34 x_{4} & +  0.03 x_{32} & +  0.03 x_{30} & -0.00 x_{24} & +  0.04 x_{18} & -0.21 x_{8} & -0.05 x_{21} & +  0.31 x_{5} & -0.04 x_{22} & -0.32 x_{7} & -0.36 x_{14} & +  0.02 x_{25} & +  0.03 x_{31}\\
 x_{16}   &  4.03062074906 & -0.02 x_{29} & -0.05 x_{20} & -0.02 x_{26} & -0.88 x_{4} & -0.09 x_{32} & -0.02 x_{30} & +  0.11 x_{24} & +  0.09 x_{18} & -1.20 x_{8} & -0.11 x_{21} & -1.23 x_{5} & +  0.02 x_{22} & -0.74 x_{7} & -0.84 x_{14} & +  0.07 x_{25} & -0.12 x_{31}\\
 x_{11}   &  5.10396403791 & +  0.00 x_{29} & +  0.02 x_{20} & -0.06 x_{26} & -0.61 x_{4} & -0.06 x_{32} & -0.02 x_{30} & +  0.06 x_{24} & +  0.01 x_{18} & -1.44 x_{8} & -0.07 x_{21} & -2.16 x_{5} & +  0.01 x_{22} & -1.41 x_{7} & -0.66 x_{14} & +  0.08 x_{25} & -0.08 x_{31}\\
\hline
z    &  18.0956587578 & -0.04 x_{29} & -0.09 x_{20} & +  0.14 x_{26} & -2.98 x_{4} & -0.26 x_{32} & -0.03 x_{30} & +  0.39 x_{24} & +  0.01 x_{18} & -5.58 x_{8} & -0.18 x_{21} & -8.26 x_{5} & -0.03 x_{22} & -3.25 x_{7} & -4.64 x_{14} & +  0.70 x_{25} & -0.63 x_{31}\\
\end{array}\]


 $ x_{18} $ enters and $ x_{12} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{18}   &  3.56230097405 & +  0.25 x_{29} & +  1.09 x_{20} & -1.04 x_{26} & +  5.92 x_{4} & +  0.14 x_{32} & +  0.31 x_{30} & -0.08 x_{24} & -10.57 x_{12} & +  5.94 x_{8} & +  0.83 x_{21} & -8.52 x_{5} & +  0.09 x_{22} & -23.13 x_{7} & -1.50 x_{14} & -0.46 x_{25} & +  0.36 x_{31}\\
 x_{3}   &  3.47409318316 & +  0.01 x_{29} & +  0.00 x_{20} & -0.03 x_{26} & -1.04 x_{4} & +  0.04 x_{32} & +  0.04 x_{30} & +  0.05 x_{24} & -0.49 x_{12} & -0.30 x_{8} & -0.05 x_{21} & +  0.32 x_{5} & -0.02 x_{22} & -0.92 x_{7} & -0.63 x_{14} & +  0.04 x_{25} & +  0.02 x_{31}\\
 x_{19}   &  2.55671109873 & +  0.51 x_{29} & -0.09 x_{20} & +  0.79 x_{26} & +  4.22 x_{4} & +  0.37 x_{32} & -0.14 x_{30} & -0.93 x_{24} & +  2.74 x_{12} & + 17.00 x_{8} & +  0.61 x_{21} & +  2.88 x_{5} & -0.46 x_{22} & + 22.30 x_{7} & + 12.62 x_{14} & -0.82 x_{25} & +  0.11 x_{31}\\
 x_{10}   &  3.14105350876 & -0.01 x_{29} & -0.01 x_{20} & +  0.01 x_{26} & -0.77 x_{4} & +  0.01 x_{32} & +  0.02 x_{30} & -0.01 x_{24} & -0.49 x_{12} & -0.20 x_{8} & -0.04 x_{21} & -0.53 x_{5} & -0.05 x_{22} & +  0.44 x_{7} & +  0.47 x_{14} & -0.00 x_{25} & -0.01 x_{31}\\
 x_{1}   &  1.30369844792 & +  0.01 x_{29} & +  0.02 x_{20} & -0.09 x_{26} & -0.48 x_{4} & +  0.03 x_{32} & +  0.01 x_{30} & +  0.07 x_{24} & -0.44 x_{12} & +  0.28 x_{8} & -0.01 x_{21} & -0.36 x_{5} & -0.01 x_{22} & -1.64 x_{7} & -1.07 x_{14} & +  0.03 x_{25} & -0.01 x_{31}\\
 x_{6}   &  2.87506880184 & +  0.04 x_{29} & +  0.08 x_{20} & -0.10 x_{26} & -0.35 x_{4} & +  0.01 x_{32} & +  0.01 x_{30} & +  0.07 x_{24} & -0.97 x_{12} & +  0.21 x_{8} & -0.03 x_{21} & -1.07 x_{5} & -0.03 x_{22} & -2.26 x_{7} & -1.18 x_{14} & +  0.01 x_{25} & +  0.00 x_{31}\\
 x_{23}   &  88.2834554983 & +  0.15 x_{29} & -0.62 x_{20} & +  0.32 x_{26} & -21.25 x_{4} & -1.01 x_{32} & +  0.28 x_{30} & +  0.65 x_{24} & +  1.95 x_{12} & -32.54 x_{8} & -0.86 x_{21} & -26.27 x_{5} & +  0.04 x_{22} & -8.38 x_{7} & + 16.33 x_{14} & +  1.27 x_{25} & -1.99 x_{31}\\
 x_{2}   &  0.514217123182 & +  0.05 x_{29} & -0.05 x_{20} & +  0.01 x_{26} & -0.22 x_{4} & +  0.01 x_{32} & +  0.00 x_{30} & +  0.00 x_{24} & -0.21 x_{12} & +  0.74 x_{8} & -0.01 x_{21} & +  0.27 x_{5} & -0.03 x_{22} & +  0.28 x_{7} & -0.24 x_{14} & -0.00 x_{25} & +  0.05 x_{31}\\
 x_{17}   &  40.5873500913 & +  0.05 x_{29} & -0.96 x_{20} & +  1.36 x_{26} & -10.42 x_{4} & -0.32 x_{32} & -0.33 x_{30} & -0.31 x_{24} & +  3.22 x_{12} & -11.84 x_{8} & -0.67 x_{21} & -4.66 x_{5} & -0.44 x_{22} & + 27.57 x_{7} & -3.45 x_{14} & +  0.63 x_{25} & +  0.11 x_{31}\\
 x_{9}   &  2.56752250047 & +  0.06 x_{29} & -0.01 x_{20} & -0.02 x_{26} & -1.08 x_{4} & -0.03 x_{32} & +  0.03 x_{30} & +  0.06 x_{24} & -0.87 x_{12} & -0.34 x_{8} & -0.02 x_{21} & -1.34 x_{5} & -0.05 x_{22} & -1.14 x_{7} & -0.26 x_{14} & +  0.08 x_{25} & -0.07 x_{31}\\
 x_{27}   &  44.7599781516 & -0.29 x_{29} & -0.60 x_{20} & +  0.69 x_{26} & -12.80 x_{4} & -0.58 x_{32} & -0.43 x_{30} & +  0.41 x_{24} & + 13.20 x_{12} & -28.12 x_{8} & -0.40 x_{21} & -13.55 x_{5} & +  0.46 x_{22} & + 18.69 x_{7} & +  1.24 x_{14} & +  1.11 x_{25} & -1.36 x_{31}\\
 x_{28}   &  134.842556114 & +  0.24 x_{29} & -0.46 x_{20} & -0.79 x_{26} & -20.86 x_{4} & -0.71 x_{32} & +  0.55 x_{30} & +  1.62 x_{24} & -17.42 x_{12} & -17.04 x_{8} & -1.50 x_{21} & -26.96 x_{5} & -0.98 x_{22} & -31.67 x_{7} & -18.90 x_{14} & +  1.87 x_{25} & -1.09 x_{31}\\
 x_{15}   &  0.698390686275 & -0.02 x_{29} & -0.05 x_{20} & +  0.09 x_{26} & +  0.32 x_{4} & -0.00 x_{32} & -0.03 x_{30} & -0.02 x_{24} & +  0.18 x_{12} & -0.41 x_{8} & -0.00 x_{21} & +  0.96 x_{5} & -0.03 x_{22} & +  1.72 x_{7} & +  0.33 x_{14} & +  0.00 x_{25} & +  0.03 x_{31}\\
 x_{13}   &  1.50325294466 & -0.01 x_{29} & +  0.07 x_{20} & -0.06 x_{26} & -0.08 x_{4} & +  0.03 x_{32} & +  0.04 x_{30} & -0.00 x_{24} & -0.47 x_{12} & +  0.05 x_{8} & -0.01 x_{21} & -0.07 x_{5} & -0.03 x_{22} & -1.34 x_{7} & -0.43 x_{14} & +  0.00 x_{25} & +  0.04 x_{31}\\
 x_{16}   &  4.34864132762 & +  0.01 x_{29} & +  0.05 x_{20} & -0.11 x_{26} & -0.35 x_{4} & -0.08 x_{32} & +  0.01 x_{30} & +  0.10 x_{24} & -0.94 x_{12} & -0.67 x_{8} & -0.04 x_{21} & -1.99 x_{5} & +  0.03 x_{22} & -2.80 x_{7} & -0.98 x_{14} & +  0.03 x_{25} & -0.09 x_{31}\\
 x_{11}   &  5.13017402731 & +  0.00 x_{29} & +  0.03 x_{20} & -0.07 x_{26} & -0.56 x_{4} & -0.06 x_{32} & -0.02 x_{30} & +  0.06 x_{24} & -0.08 x_{12} & -1.40 x_{8} & -0.07 x_{21} & -2.22 x_{5} & +  0.01 x_{22} & -1.58 x_{7} & -0.67 x_{14} & +  0.08 x_{25} & -0.08 x_{31}\\
\hline
z    &  18.119966948 & -0.03 x_{29} & -0.08 x_{20} & +  0.14 x_{26} & -2.94 x_{4} & -0.26 x_{32} & -0.03 x_{30} & +  0.39 x_{24} & -0.07 x_{12} & -5.54 x_{8} & -0.17 x_{21} & -8.32 x_{5} & -0.03 x_{22} & -3.41 x_{7} & -4.65 x_{14} & +  0.69 x_{25} & -0.63 x_{31}\\
\end{array}\]


 $ x_{24} $ enters and $ x_{19} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{18}   &  3.32967198623 & +  0.20 x_{29} & +  1.09 x_{20} & -1.11 x_{26} & +  5.54 x_{4} & +  0.10 x_{32} & +  0.32 x_{30} & +  0.09 x_{19} & -10.82 x_{12} & +  4.39 x_{8} & +  0.78 x_{21} & -8.79 x_{5} & +  0.13 x_{22} & -25.16 x_{7} & -2.65 x_{14} & -0.39 x_{25} & +  0.35 x_{31}\\
 x_{3}   &  3.61474175524 & +  0.04 x_{29} & -0.00 x_{20} & +  0.01 x_{26} & -0.81 x_{4} & +  0.06 x_{32} & +  0.03 x_{30} & -0.06 x_{19} & -0.34 x_{12} & +  0.64 x_{8} & -0.02 x_{21} & +  0.48 x_{5} & -0.04 x_{22} & +  0.31 x_{7} & +  0.06 x_{14} & -0.01 x_{25} & +  0.03 x_{31}\\
 x_{24}   &  2.76328911345 & +  0.55 x_{29} & -0.10 x_{20} & +  0.85 x_{26} & +  4.56 x_{4} & +  0.40 x_{32} & -0.15 x_{30} & -1.08 x_{19} & +  2.96 x_{12} & + 18.38 x_{8} & +  0.66 x_{21} & +  3.11 x_{5} & -0.50 x_{22} & + 24.11 x_{7} & + 13.64 x_{14} & -0.88 x_{25} & +  0.12 x_{31}\\
 x_{10}   &  3.09989304199 & -0.01 x_{29} & -0.01 x_{20} & -0.01 x_{26} & -0.84 x_{4} & +  0.00 x_{32} & +  0.02 x_{30} & +  0.02 x_{19} & -0.53 x_{12} & -0.48 x_{8} & -0.05 x_{21} & -0.57 x_{5} & -0.04 x_{22} & +  0.08 x_{7} & +  0.27 x_{14} & +  0.01 x_{25} & -0.01 x_{31}\\
 x_{1}   &  1.50697458142 & +  0.05 x_{29} & +  0.01 x_{20} & -0.03 x_{26} & -0.14 x_{4} & +  0.06 x_{32} & -0.00 x_{30} & -0.08 x_{19} & -0.22 x_{12} & +  1.63 x_{8} & +  0.04 x_{21} & -0.13 x_{5} & -0.04 x_{22} & +  0.13 x_{7} & -0.07 x_{14} & -0.03 x_{25} & +  0.00 x_{31}\\
 x_{6}   &  3.07760591288 & +  0.08 x_{29} & +  0.08 x_{20} & -0.04 x_{26} & -0.01 x_{4} & +  0.04 x_{32} & +  0.00 x_{30} & -0.08 x_{19} & -0.76 x_{12} & +  1.55 x_{8} & +  0.02 x_{21} & -0.84 x_{5} & -0.07 x_{22} & -0.49 x_{7} & -0.18 x_{14} & -0.05 x_{25} & +  0.01 x_{31}\\
 x_{23}   &  90.0720740405 & +  0.51 x_{29} & -0.68 x_{20} & +  0.87 x_{26} & -18.30 x_{4} & -0.75 x_{32} & +  0.19 x_{30} & -0.70 x_{19} & +  3.87 x_{12} & -20.64 x_{8} & -0.43 x_{21} & -24.26 x_{5} & -0.29 x_{22} & +  7.23 x_{7} & + 25.16 x_{14} & +  0.70 x_{25} & -1.91 x_{31}\\
 x_{2}   &  0.526832773956 & +  0.05 x_{29} & -0.05 x_{20} & +  0.01 x_{26} & -0.20 x_{4} & +  0.01 x_{32} & +  0.00 x_{30} & -0.00 x_{19} & -0.20 x_{12} & +  0.82 x_{8} & -0.01 x_{21} & +  0.29 x_{5} & -0.03 x_{22} & +  0.39 x_{7} & -0.18 x_{14} & -0.01 x_{25} & +  0.05 x_{31}\\
 x_{17}   &  39.7339224735 & -0.12 x_{29} & -0.93 x_{20} & +  1.10 x_{26} & -11.82 x_{4} & -0.44 x_{32} & -0.28 x_{30} & +  0.33 x_{19} & +  2.31 x_{12} & -17.52 x_{8} & -0.87 x_{21} & -5.62 x_{5} & -0.28 x_{22} & + 20.12 x_{7} & -7.66 x_{14} & +  0.91 x_{25} & +  0.08 x_{31}\\
 x_{9}   &  2.74443194802 & +  0.09 x_{29} & -0.01 x_{20} & +  0.03 x_{26} & -0.78 x_{4} & -0.00 x_{32} & +  0.02 x_{30} & -0.07 x_{19} & -0.68 x_{12} & +  0.83 x_{8} & +  0.02 x_{21} & -1.14 x_{5} & -0.08 x_{22} & +  0.40 x_{7} & +  0.61 x_{14} & +  0.02 x_{25} & -0.06 x_{31}\\
 x_{27}   &  45.8874208991 & -0.07 x_{29} & -0.64 x_{20} & +  1.04 x_{26} & -10.94 x_{4} & -0.42 x_{32} & -0.49 x_{30} & -0.44 x_{19} & + 14.40 x_{12} & -20.62 x_{8} & -0.13 x_{21} & -12.28 x_{5} & +  0.25 x_{22} & + 28.53 x_{7} & +  6.80 x_{14} & +  0.75 x_{25} & -1.31 x_{31}\\
 x_{28}   &  139.324014932 & +  1.14 x_{29} & -0.62 x_{20} & +  0.59 x_{26} & -13.47 x_{4} & -0.07 x_{32} & +  0.30 x_{30} & -1.75 x_{19} & -12.62 x_{12} & + 12.76 x_{8} & -0.43 x_{21} & -21.92 x_{5} & -1.80 x_{22} & +  7.43 x_{7} & +  3.23 x_{14} & +  0.44 x_{25} & -0.89 x_{31}\\
 x_{15}   &  0.643795961857 & -0.04 x_{29} & -0.05 x_{20} & +  0.08 x_{26} & +  0.23 x_{4} & -0.01 x_{32} & -0.03 x_{30} & +  0.02 x_{19} & +  0.12 x_{12} & -0.78 x_{8} & -0.02 x_{21} & +  0.90 x_{5} & -0.02 x_{22} & +  1.24 x_{7} & +  0.06 x_{14} & +  0.02 x_{25} & +  0.03 x_{31}\\
 x_{13}   &  1.49141938102 & -0.01 x_{29} & +  0.07 x_{20} & -0.06 x_{26} & -0.10 x_{4} & +  0.03 x_{32} & +  0.04 x_{30} & +  0.00 x_{19} & -0.48 x_{12} & -0.03 x_{8} & -0.01 x_{21} & -0.08 x_{5} & -0.03 x_{22} & -1.44 x_{7} & -0.49 x_{14} & +  0.01 x_{25} & +  0.04 x_{31}\\
 x_{16}   &  4.6378971709 & +  0.06 x_{29} & +  0.04 x_{20} & -0.02 x_{26} & +  0.12 x_{4} & -0.04 x_{32} & -0.00 x_{30} & -0.11 x_{19} & -0.63 x_{12} & +  1.25 x_{8} & +  0.03 x_{21} & -1.67 x_{5} & -0.02 x_{22} & -0.28 x_{7} & +  0.45 x_{14} & -0.06 x_{25} & -0.07 x_{31}\\
 x_{11}   &  5.30540021691 & +  0.04 x_{29} & +  0.02 x_{20} & -0.01 x_{26} & -0.28 x_{4} & -0.03 x_{32} & -0.03 x_{30} & -0.07 x_{19} & +  0.11 x_{12} & -0.24 x_{8} & -0.03 x_{21} & -2.02 x_{5} & -0.03 x_{22} & -0.05 x_{7} & +  0.19 x_{14} & +  0.02 x_{25} & -0.07 x_{31}\\
\hline
z    &  19.1877280369 & +  0.18 x_{29} & -0.12 x_{20} & +  0.46 x_{26} & -1.18 x_{4} & -0.11 x_{32} & -0.09 x_{30} & -0.42 x_{19} & +  1.07 x_{12} & +  1.56 x_{8} & +  0.08 x_{21} & -7.12 x_{5} & -0.22 x_{22} & +  5.91 x_{7} & +  0.62 x_{14} & +  0.35 x_{25} & -0.58 x_{31}\\
\end{array}\]


 $ x_{7} $ enters and $ x_{18} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{7}   &  0.132351415151 & +  0.01 x_{29} & +  0.04 x_{20} & -0.04 x_{26} & +  0.22 x_{4} & +  0.00 x_{32} & +  0.01 x_{30} & +  0.00 x_{19} & -0.43 x_{12} & +  0.17 x_{8} & +  0.03 x_{21} & -0.35 x_{5} & +  0.01 x_{22} & -0.04 x_{18} & -0.11 x_{14} & -0.02 x_{25} & +  0.01 x_{31}\\
 x_{3}   &  3.65597304198 & +  0.05 x_{29} & +  0.01 x_{20} & -0.00 x_{26} & -0.74 x_{4} & +  0.06 x_{32} & +  0.03 x_{30} & -0.05 x_{19} & -0.48 x_{12} & +  0.69 x_{8} & -0.01 x_{21} & +  0.37 x_{5} & -0.04 x_{22} & -0.01 x_{18} & +  0.03 x_{14} & -0.01 x_{25} & +  0.03 x_{31}\\
 x_{24}   &  5.95382308537 & +  0.75 x_{29} & +  0.95 x_{20} & -0.21 x_{26} & +  9.86 x_{4} & +  0.50 x_{32} & +  0.15 x_{30} & -0.99 x_{19} & -7.41 x_{12} & + 22.59 x_{8} & +  1.40 x_{21} & -5.31 x_{5} & -0.37 x_{22} & -0.96 x_{18} & + 11.10 x_{14} & -1.25 x_{25} & +  0.46 x_{31}\\
 x_{10}   &  3.11042865869 & -0.01 x_{29} & -0.01 x_{20} & -0.01 x_{26} & -0.82 x_{4} & +  0.00 x_{32} & +  0.02 x_{30} & +  0.02 x_{19} & -0.57 x_{12} & -0.46 x_{8} & -0.05 x_{21} & -0.60 x_{5} & -0.04 x_{22} & -0.00 x_{18} & +  0.26 x_{14} & +  0.01 x_{25} & -0.01 x_{31}\\
 x_{1}   &  1.52412318308 & +  0.05 x_{29} & +  0.02 x_{20} & -0.04 x_{26} & -0.11 x_{4} & +  0.06 x_{32} & -0.00 x_{30} & -0.08 x_{19} & -0.28 x_{12} & +  1.65 x_{8} & +  0.04 x_{21} & -0.18 x_{5} & -0.04 x_{22} & -0.01 x_{18} & -0.08 x_{14} & -0.04 x_{25} & +  0.00 x_{31}\\
 x_{6}   &  3.01260582238 & +  0.08 x_{29} & +  0.06 x_{20} & -0.01 x_{26} & -0.12 x_{4} & +  0.04 x_{32} & -0.01 x_{30} & -0.08 x_{19} & -0.55 x_{12} & +  1.47 x_{8} & +  0.00 x_{21} & -0.67 x_{5} & -0.07 x_{22} & +  0.02 x_{18} & -0.13 x_{14} & -0.05 x_{25} & +  0.01 x_{31}\\
 x_{23}   &  91.0285013528 & +  0.57 x_{29} & -0.37 x_{20} & +  0.55 x_{26} & -16.71 x_{4} & -0.72 x_{32} & +  0.28 x_{30} & -0.67 x_{19} & +  0.76 x_{12} & -19.38 x_{8} & -0.21 x_{21} & -26.78 x_{5} & -0.25 x_{22} & -0.29 x_{18} & + 24.40 x_{14} & +  0.59 x_{25} & -1.81 x_{31}\\
 x_{2}   &  0.578735273725 & +  0.05 x_{29} & -0.03 x_{20} & -0.01 x_{26} & -0.11 x_{4} & +  0.02 x_{32} & +  0.01 x_{30} & -0.00 x_{19} & -0.37 x_{12} & +  0.89 x_{8} & +  0.00 x_{21} & +  0.15 x_{5} & -0.03 x_{22} & -0.02 x_{18} & -0.22 x_{14} & -0.01 x_{25} & +  0.05 x_{31}\\
 x_{17}   &  42.3973402871 & +  0.04 x_{29} & -0.05 x_{20} & +  0.21 x_{26} & -7.39 x_{4} & -0.36 x_{32} & -0.03 x_{30} & +  0.41 x_{19} & -6.34 x_{12} & -14.00 x_{8} & -0.25 x_{21} & -12.65 x_{5} & -0.18 x_{22} & -0.80 x_{18} & -9.79 x_{14} & +  0.60 x_{25} & +  0.35 x_{31}\\
 x_{9}   &  2.79728891959 & +  0.09 x_{29} & +  0.01 x_{20} & +  0.01 x_{26} & -0.70 x_{4} & +  0.00 x_{32} & +  0.02 x_{30} & -0.07 x_{19} & -0.85 x_{12} & +  0.90 x_{8} & +  0.03 x_{21} & -1.28 x_{5} & -0.08 x_{22} & -0.02 x_{18} & +  0.57 x_{14} & +  0.01 x_{25} & -0.05 x_{31}\\
 x_{27}   &  49.6627997968 & +  0.16 x_{29} & +  0.60 x_{20} & -0.22 x_{26} & -4.66 x_{4} & -0.30 x_{32} & -0.13 x_{30} & -0.34 x_{19} & +  2.14 x_{12} & -15.64 x_{8} & +  0.75 x_{21} & -22.24 x_{5} & +  0.41 x_{22} & -1.13 x_{18} & +  3.80 x_{14} & +  0.32 x_{25} & -0.92 x_{31}\\
 x_{28}   &  140.306825748 & +  1.20 x_{29} & -0.30 x_{20} & +  0.27 x_{26} & -11.84 x_{4} & -0.04 x_{32} & +  0.40 x_{30} & -1.73 x_{19} & -15.82 x_{12} & + 14.06 x_{8} & -0.20 x_{21} & -24.51 x_{5} & -1.76 x_{22} & -0.30 x_{18} & +  2.44 x_{14} & +  0.33 x_{25} & -0.79 x_{31}\\
 x_{15}   &  0.80820671439 & -0.03 x_{29} & +  0.00 x_{20} & +  0.02 x_{26} & +  0.50 x_{4} & -0.00 x_{32} & -0.01 x_{30} & +  0.03 x_{19} & -0.41 x_{12} & -0.56 x_{8} & +  0.02 x_{21} & +  0.46 x_{5} & -0.01 x_{22} & -0.05 x_{18} & -0.07 x_{14} & -0.00 x_{25} & +  0.05 x_{31}\\
 x_{13}   &  1.30076253079 & -0.02 x_{29} & +  0.00 x_{20} & +  0.00 x_{26} & -0.42 x_{4} & +  0.02 x_{32} & +  0.02 x_{30} & -0.00 x_{19} & +  0.14 x_{12} & -0.28 x_{8} & -0.06 x_{21} & +  0.42 x_{5} & -0.04 x_{22} & +  0.06 x_{18} & -0.33 x_{14} & +  0.03 x_{25} & +  0.02 x_{31}\\
 x_{16}   &  4.60088817209 & +  0.06 x_{29} & +  0.03 x_{20} & -0.01 x_{26} & +  0.06 x_{4} & -0.04 x_{32} & -0.01 x_{30} & -0.11 x_{19} & -0.51 x_{12} & +  1.20 x_{8} & +  0.02 x_{21} & -1.57 x_{5} & -0.03 x_{22} & +  0.01 x_{18} & +  0.48 x_{14} & -0.06 x_{25} & -0.08 x_{31}\\
 x_{11}   &  5.29872485346 & +  0.04 x_{29} & +  0.02 x_{20} & -0.01 x_{26} & -0.29 x_{4} & -0.04 x_{32} & -0.03 x_{30} & -0.07 x_{19} & +  0.13 x_{12} & -0.24 x_{8} & -0.03 x_{21} & -2.01 x_{5} & -0.03 x_{22} & +  0.00 x_{18} & +  0.20 x_{14} & +  0.02 x_{25} & -0.07 x_{31}\\
\hline
z    &  19.9695611197 & +  0.23 x_{29} & +  0.13 x_{20} & +  0.20 x_{26} & +  0.12 x_{4} & -0.08 x_{32} & -0.01 x_{30} & -0.40 x_{19} & -1.47 x_{12} & +  2.59 x_{8} & +  0.27 x_{21} & -9.18 x_{5} & -0.19 x_{22} & -0.23 x_{18} & -0.01 x_{14} & +  0.26 x_{25} & -0.50 x_{31}\\
\end{array}\]


 $ x_{4} $ enters and $ x_{13} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{7}   &  0.815005922984 & -0.00 x_{29} & +  0.05 x_{20} & -0.04 x_{26} & -0.52 x_{13} & +  0.02 x_{32} & +  0.02 x_{30} & +  0.00 x_{19} & -0.36 x_{12} & +  0.03 x_{8} & +  0.00 x_{21} & -0.13 x_{5} & -0.01 x_{22} & -0.01 x_{18} & -0.28 x_{14} & -0.00 x_{25} & +  0.03 x_{31}\\
 x_{3}   &  1.36032151779 & +  0.08 x_{29} & +  0.00 x_{20} & -0.00 x_{26} & +  1.76 x_{13} & +  0.02 x_{32} & -0.01 x_{30} & -0.05 x_{19} & -0.73 x_{12} & +  1.19 x_{8} & +  0.09 x_{21} & -0.37 x_{5} & +  0.02 x_{22} & -0.11 x_{18} & +  0.62 x_{14} & -0.06 x_{25} & -0.01 x_{31}\\
 x_{24}   &  36.5420801899 & +  0.28 x_{29} & +  1.06 x_{20} & -0.21 x_{26} & -23.52 x_{13} & +  1.06 x_{32} & +  0.70 x_{30} & -1.01 x_{19} & -4.11 x_{12} & + 15.99 x_{8} & +  0.07 x_{21} & +  4.61 x_{5} & -1.23 x_{22} & +  0.39 x_{18} & +  3.26 x_{14} & -0.61 x_{25} & +  1.03 x_{31}\\
 x_{10}   &  0.570757981963 & +  0.02 x_{29} & -0.02 x_{20} & -0.01 x_{26} & +  1.95 x_{13} & -0.04 x_{32} & -0.03 x_{30} & +  0.02 x_{19} & -0.84 x_{12} & +  0.09 x_{8} & +  0.06 x_{21} & -1.43 x_{5} & +  0.03 x_{22} & -0.11 x_{18} & +  0.91 x_{14} & -0.04 x_{25} & -0.06 x_{31}\\
 x_{1}   &  1.16854893501 & +  0.06 x_{29} & +  0.02 x_{20} & -0.04 x_{26} & +  0.27 x_{13} & +  0.05 x_{32} & -0.01 x_{30} & -0.08 x_{19} & -0.32 x_{12} & +  1.73 x_{8} & +  0.06 x_{21} & -0.29 x_{5} & -0.03 x_{22} & -0.02 x_{18} & +  0.01 x_{14} & -0.04 x_{25} & -0.00 x_{31}\\
 x_{6}   &  2.641832381 & +  0.08 x_{29} & +  0.05 x_{20} & -0.01 x_{26} & +  0.29 x_{13} & +  0.03 x_{32} & -0.01 x_{30} & -0.08 x_{19} & -0.59 x_{12} & +  1.55 x_{8} & +  0.02 x_{21} & -0.79 x_{5} & -0.06 x_{22} & +  0.00 x_{18} & -0.04 x_{14} & -0.05 x_{25} & +  0.00 x_{31}\\
 x_{23}   &  39.2230809182 & +  1.35 x_{29} & -0.55 x_{20} & +  0.55 x_{26} & + 39.83 x_{13} & -1.67 x_{32} & -0.65 x_{30} & -0.65 x_{19} & -4.83 x_{12} & -8.21 x_{8} & +  2.05 x_{21} & -43.59 x_{5} & +  1.21 x_{22} & -2.57 x_{18} & + 37.67 x_{14} & -0.50 x_{25} & -2.79 x_{31}\\
 x_{2}   &  0.237638008787 & +  0.06 x_{29} & -0.03 x_{20} & -0.01 x_{26} & +  0.26 x_{13} & +  0.01 x_{32} & +  0.00 x_{30} & -0.00 x_{19} & -0.41 x_{12} & +  0.96 x_{8} & +  0.02 x_{21} & +  0.04 x_{5} & -0.02 x_{22} & -0.03 x_{18} & -0.13 x_{14} & -0.02 x_{25} & +  0.05 x_{31}\\
 x_{17}   &  19.4691327006 & +  0.39 x_{29} & -0.13 x_{20} & +  0.21 x_{26} & + 17.63 x_{13} & -0.78 x_{32} & -0.44 x_{30} & +  0.42 x_{19} & -8.82 x_{12} & -9.06 x_{8} & +  0.75 x_{21} & -20.09 x_{5} & +  0.47 x_{22} & -1.81 x_{18} & -3.91 x_{14} & +  0.12 x_{25} & -0.08 x_{31}\\
 x_{9}   &  0.636046288486 & +  0.13 x_{29} & -0.00 x_{20} & +  0.01 x_{26} & +  1.66 x_{13} & -0.04 x_{32} & -0.01 x_{30} & -0.07 x_{19} & -1.09 x_{12} & +  1.37 x_{8} & +  0.13 x_{21} & -1.98 x_{5} & -0.02 x_{22} & -0.11 x_{18} & +  1.13 x_{14} & -0.03 x_{25} & -0.10 x_{31}\\
 x_{27}   &  35.2111107904 & +  0.38 x_{29} & +  0.55 x_{20} & -0.22 x_{26} & + 11.11 x_{13} & -0.56 x_{32} & -0.38 x_{30} & -0.33 x_{19} & +  0.58 x_{12} & -12.53 x_{8} & +  1.38 x_{21} & -26.93 x_{5} & +  0.81 x_{22} & -1.77 x_{18} & +  7.50 x_{14} & +  0.01 x_{25} & -1.19 x_{31}\\
 x_{28}   &  103.59844393 & +  1.76 x_{29} & -0.42 x_{20} & +  0.26 x_{26} & + 28.22 x_{13} & -0.71 x_{32} & -0.26 x_{30} & -1.71 x_{19} & -19.78 x_{12} & + 21.97 x_{8} & +  1.40 x_{21} & -36.42 x_{5} & -0.72 x_{22} & -1.91 x_{18} & + 11.85 x_{14} & -0.44 x_{25} & -1.48 x_{31}\\
 x_{15}   &  2.35721956294 & -0.05 x_{29} & +  0.01 x_{20} & +  0.02 x_{26} & -1.19 x_{13} & +  0.02 x_{32} & +  0.02 x_{30} & +  0.03 x_{19} & -0.25 x_{12} & -0.89 x_{8} & -0.04 x_{21} & +  0.96 x_{5} & -0.05 x_{22} & +  0.02 x_{18} & -0.47 x_{14} & +  0.03 x_{25} & +  0.08 x_{31}\\
 x_{4}   &  3.10072199869 & -0.05 x_{29} & +  0.01 x_{20} & +  0.00 x_{26} & -2.38 x_{13} & +  0.06 x_{32} & +  0.06 x_{30} & -0.00 x_{19} & +  0.33 x_{12} & -0.67 x_{8} & -0.13 x_{21} & +  1.01 x_{5} & -0.09 x_{22} & +  0.14 x_{18} & -0.79 x_{14} & +  0.07 x_{25} & +  0.06 x_{31}\\
 x_{16}   &  4.79633227523 & +  0.06 x_{29} & +  0.03 x_{20} & -0.01 x_{26} & -0.15 x_{13} & -0.04 x_{32} & -0.00 x_{30} & -0.11 x_{19} & -0.49 x_{12} & +  1.16 x_{8} & +  0.02 x_{21} & -1.51 x_{5} & -0.03 x_{22} & +  0.02 x_{18} & +  0.43 x_{14} & -0.05 x_{25} & -0.08 x_{31}\\
 x_{11}   &  4.4114391348 & +  0.05 x_{29} & +  0.02 x_{20} & -0.01 x_{26} & +  0.68 x_{13} & -0.05 x_{32} & -0.04 x_{30} & -0.07 x_{19} & +  0.04 x_{12} & -0.05 x_{8} & +  0.01 x_{21} & -2.29 x_{5} & -0.00 x_{22} & -0.04 x_{18} & +  0.43 x_{14} & +  0.01 x_{25} & -0.09 x_{31}\\
\hline
z    &  20.3521345355 & +  0.22 x_{29} & +  0.14 x_{20} & +  0.20 x_{26} & -0.29 x_{13} & -0.08 x_{32} & -0.01 x_{30} & -0.40 x_{19} & -1.43 x_{12} & +  2.51 x_{8} & +  0.25 x_{21} & -9.06 x_{5} & -0.20 x_{22} & -0.22 x_{18} & -0.10 x_{14} & +  0.27 x_{25} & -0.49 x_{31}\\
\end{array}\]


 $ x_{8} $ enters and $ x_{17} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{7}   &  0.873945676349 & -0.00 x_{29} & +  0.05 x_{20} & -0.04 x_{26} & -0.47 x_{13} & +  0.01 x_{32} & +  0.02 x_{30} & +  0.00 x_{19} & -0.38 x_{12} & -0.00 x_{17} & +  0.00 x_{21} & -0.19 x_{5} & -0.01 x_{22} & -0.02 x_{18} & -0.29 x_{14} & -0.00 x_{25} & +  0.03 x_{31}\\
 x_{3}   &  3.91362319444 & +  0.13 x_{29} & -0.01 x_{20} & +  0.03 x_{26} & +  4.08 x_{13} & -0.08 x_{32} & -0.06 x_{30} & +  0.00 x_{19} & -1.88 x_{12} & -0.13 x_{17} & +  0.19 x_{21} & -3.01 x_{5} & +  0.09 x_{22} & -0.35 x_{18} & +  0.10 x_{14} & -0.05 x_{25} & -0.02 x_{31}\\
 x_{24}   &  70.9136869376 & +  0.98 x_{29} & +  0.82 x_{20} & +  0.15 x_{26} & +  7.60 x_{13} & -0.32 x_{32} & -0.07 x_{30} & -0.27 x_{19} & -19.68 x_{12} & -1.77 x_{17} & +  1.39 x_{21} & -30.85 x_{5} & -0.40 x_{22} & -2.81 x_{18} & -3.64 x_{14} & -0.41 x_{25} & +  0.90 x_{31}\\
 x_{10}   &  0.753933823973 & +  0.03 x_{29} & -0.02 x_{20} & -0.01 x_{26} & +  2.12 x_{13} & -0.05 x_{32} & -0.03 x_{30} & +  0.02 x_{19} & -0.92 x_{12} & -0.01 x_{17} & +  0.07 x_{21} & -1.61 x_{5} & +  0.03 x_{22} & -0.13 x_{18} & +  0.88 x_{14} & -0.04 x_{25} & -0.06 x_{31}\\
 x_{1}   &  4.88739241577 & +  0.14 x_{29} & -0.01 x_{20} & +  0.00 x_{26} & +  3.64 x_{13} & -0.10 x_{32} & -0.09 x_{30} & +  0.00 x_{19} & -2.00 x_{12} & -0.19 x_{17} & +  0.20 x_{21} & -4.13 x_{5} & +  0.06 x_{22} & -0.37 x_{18} & -0.74 x_{14} & -0.02 x_{25} & -0.02 x_{31}\\
 x_{6}   &  5.97132710395 & +  0.15 x_{29} & +  0.03 x_{20} & +  0.02 x_{26} & +  3.30 x_{13} & -0.10 x_{32} & -0.09 x_{30} & -0.01 x_{19} & -2.09 x_{12} & -0.17 x_{17} & +  0.14 x_{21} & -4.22 x_{5} & +  0.02 x_{22} & -0.31 x_{18} & -0.71 x_{14} & -0.03 x_{25} & -0.01 x_{31}\\
 x_{23}   &  21.5726217895 & +  1.00 x_{29} & -0.43 x_{20} & +  0.36 x_{26} & + 23.85 x_{13} & -0.96 x_{32} & -0.25 x_{30} & -1.03 x_{19} & +  3.16 x_{12} & +  0.91 x_{17} & +  1.37 x_{21} & -25.38 x_{5} & +  0.79 x_{22} & -0.93 x_{18} & + 41.22 x_{14} & -0.60 x_{25} & -2.72 x_{31}\\
 x_{2}   &  2.30624654976 & +  0.10 x_{29} & -0.05 x_{20} & +  0.01 x_{26} & +  2.14 x_{13} & -0.07 x_{32} & -0.05 x_{30} & +  0.04 x_{19} & -1.34 x_{12} & -0.11 x_{17} & +  0.09 x_{21} & -2.09 x_{5} & +  0.03 x_{22} & -0.22 x_{18} & -0.55 x_{14} & -0.01 x_{25} & +  0.04 x_{31}\\
 x_{8}   &  2.14928783357 & +  0.04 x_{29} & -0.01 x_{20} & +  0.02 x_{26} & +  1.95 x_{13} & -0.09 x_{32} & -0.05 x_{30} & +  0.05 x_{19} & -0.97 x_{12} & -0.11 x_{17} & +  0.08 x_{21} & -2.22 x_{5} & +  0.05 x_{22} & -0.20 x_{18} & -0.43 x_{14} & +  0.01 x_{25} & -0.01 x_{31}\\
 x_{9}   &  3.57961197238 & +  0.19 x_{29} & -0.02 x_{20} & +  0.04 x_{26} & +  4.33 x_{13} & -0.16 x_{32} & -0.08 x_{30} & -0.00 x_{19} & -2.42 x_{12} & -0.15 x_{17} & +  0.24 x_{21} & -5.02 x_{5} & +  0.05 x_{22} & -0.38 x_{18} & +  0.53 x_{14} & -0.01 x_{25} & -0.11 x_{31}\\
 x_{27}   &  8.28348952044 & -0.16 x_{29} & +  0.74 x_{20} & -0.51 x_{26} & -13.27 x_{13} & +  0.51 x_{32} & +  0.22 x_{30} & -0.91 x_{19} & + 12.78 x_{12} & +  1.38 x_{17} & +  0.34 x_{21} & +  0.85 x_{5} & +  0.16 x_{22} & +  0.73 x_{18} & + 12.91 x_{14} & -0.15 x_{25} & -1.09 x_{31}\\
 x_{28}   &  150.827236558 & +  2.72 x_{29} & -0.75 x_{20} & +  0.76 x_{26} & + 70.98 x_{13} & -2.60 x_{32} & -1.32 x_{30} & -0.70 x_{19} & -41.17 x_{12} & -2.43 x_{17} & +  3.21 x_{21} & -85.15 x_{5} & +  0.41 x_{22} & -6.30 x_{18} & +  2.37 x_{14} & -0.16 x_{25} & -1.66 x_{31}\\
 x_{15}   &  0.437657953937 & -0.09 x_{29} & +  0.02 x_{20} & +  0.00 x_{26} & -2.93 x_{13} & +  0.10 x_{32} & +  0.06 x_{30} & -0.02 x_{19} & +  0.62 x_{12} & +  0.10 x_{17} & -0.12 x_{21} & +  2.94 x_{5} & -0.10 x_{22} & +  0.20 x_{18} & -0.09 x_{14} & +  0.02 x_{25} & +  0.09 x_{31}\\
 x_{4}   &  1.66394907733 & -0.08 x_{29} & +  0.02 x_{20} & -0.01 x_{26} & -3.68 x_{13} & +  0.11 x_{32} & +  0.09 x_{30} & -0.03 x_{19} & +  0.99 x_{12} & +  0.07 x_{17} & -0.19 x_{21} & +  2.49 x_{5} & -0.12 x_{22} & +  0.27 x_{18} & -0.51 x_{14} & +  0.06 x_{25} & +  0.06 x_{31}\\
 x_{16}   &  7.29328329942 & +  0.11 x_{29} & +  0.01 x_{20} & +  0.02 x_{26} & +  2.11 x_{13} & -0.14 x_{32} & -0.06 x_{30} & -0.06 x_{19} & -1.62 x_{12} & -0.13 x_{17} & +  0.11 x_{21} & -4.08 x_{5} & +  0.03 x_{22} & -0.21 x_{18} & -0.07 x_{14} & -0.04 x_{25} & -0.08 x_{31}\\
 x_{11}   &  4.29673970051 & +  0.05 x_{29} & +  0.02 x_{20} & -0.01 x_{26} & +  0.58 x_{13} & -0.05 x_{32} & -0.04 x_{30} & -0.07 x_{19} & +  0.09 x_{12} & +  0.01 x_{17} & +  0.01 x_{21} & -2.18 x_{5} & -0.00 x_{22} & -0.03 x_{18} & +  0.45 x_{14} & +  0.00 x_{25} & -0.09 x_{31}\\
\hline
z    &  25.741245372 & +  0.33 x_{29} & +  0.10 x_{20} & +  0.26 x_{26} & +  4.59 x_{13} & -0.29 x_{32} & -0.13 x_{30} & -0.28 x_{19} & -3.87 x_{12} & -0.28 x_{17} & +  0.46 x_{21} & -14.62 x_{5} & -0.07 x_{22} & -0.72 x_{18} & -1.19 x_{14} & +  0.30 x_{25} & -0.51 x_{31}\\
\end{array}\]


 $ x_{13} $ enters and $ x_{15} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{7}   &  0.803494952871 & +  0.01 x_{29} & +  0.04 x_{20} & -0.04 x_{26} & +  0.16 x_{15} & -0.00 x_{32} & +  0.01 x_{30} & +  0.01 x_{19} & -0.48 x_{12} & -0.02 x_{17} & +  0.02 x_{21} & -0.66 x_{5} & +  0.00 x_{22} & -0.05 x_{18} & -0.28 x_{14} & -0.00 x_{25} & +  0.01 x_{31}\\
 x_{3}   &  4.522797478 & +  0.01 x_{29} & +  0.02 x_{20} & +  0.03 x_{26} & -1.39 x_{15} & +  0.06 x_{32} & +  0.02 x_{30} & -0.02 x_{19} & -1.02 x_{12} & +  0.01 x_{17} & +  0.02 x_{21} & +  1.09 x_{5} & -0.05 x_{22} & -0.08 x_{18} & -0.02 x_{14} & -0.02 x_{25} & +  0.10 x_{31}\\
 x_{24}   &  72.049888671 & +  0.75 x_{29} & +  0.88 x_{20} & +  0.15 x_{26} & -2.60 x_{15} & -0.05 x_{32} & +  0.08 x_{30} & -0.31 x_{19} & -18.06 x_{12} & -1.51 x_{17} & +  1.09 x_{21} & -23.21 x_{5} & -0.66 x_{22} & -2.29 x_{18} & -3.86 x_{14} & -0.36 x_{25} & +  1.12 x_{31}\\
 x_{10}   &  1.07047935089 & -0.03 x_{29} & -0.00 x_{20} & -0.01 x_{26} & -0.72 x_{15} & +  0.02 x_{32} & +  0.01 x_{30} & +  0.01 x_{19} & -0.47 x_{12} & +  0.06 x_{17} & -0.02 x_{21} & +  0.51 x_{5} & -0.04 x_{22} & +  0.01 x_{18} & +  0.81 x_{14} & -0.03 x_{25} & +  0.01 x_{31}\\
 x_{1}   &  5.43137631097 & +  0.03 x_{29} & +  0.02 x_{20} & +  0.00 x_{26} & -1.24 x_{15} & +  0.03 x_{32} & -0.02 x_{30} & -0.02 x_{19} & -1.23 x_{12} & -0.07 x_{17} & +  0.05 x_{21} & -0.47 x_{5} & -0.07 x_{22} & -0.12 x_{18} & -0.85 x_{14} & +  0.00 x_{25} & +  0.09 x_{31}\\
 x_{6}   &  6.46438082543 & +  0.05 x_{29} & +  0.06 x_{20} & +  0.02 x_{26} & -1.13 x_{15} & +  0.01 x_{32} & -0.02 x_{30} & -0.03 x_{19} & -1.39 x_{12} & -0.06 x_{17} & +  0.01 x_{21} & -0.91 x_{5} & -0.10 x_{22} & -0.08 x_{18} & -0.80 x_{14} & -0.01 x_{25} & +  0.08 x_{31}\\
 x_{23}   &  25.1361551016 & +  0.28 x_{29} & -0.24 x_{20} & +  0.36 x_{26} & -8.14 x_{15} & -0.14 x_{32} & +  0.23 x_{30} & -1.16 x_{19} & +  8.23 x_{12} & +  1.71 x_{17} & +  0.40 x_{21} & -1.40 x_{5} & -0.03 x_{22} & +  0.68 x_{18} & + 40.52 x_{14} & -0.43 x_{25} & -2.02 x_{31}\\
 x_{2}   &  2.62530151165 & +  0.03 x_{29} & -0.03 x_{20} & +  0.01 x_{26} & -0.73 x_{15} & +  0.00 x_{32} & -0.00 x_{30} & +  0.03 x_{19} & -0.89 x_{12} & -0.03 x_{17} & +  0.01 x_{21} & +  0.05 x_{5} & -0.04 x_{22} & -0.08 x_{18} & -0.61 x_{14} & +  0.01 x_{25} & +  0.10 x_{31}\\
 x_{8}   &  2.44007214793 & -0.01 x_{29} & +  0.00 x_{20} & +  0.02 x_{26} & -0.66 x_{15} & -0.02 x_{32} & -0.01 x_{30} & +  0.04 x_{19} & -0.56 x_{12} & -0.04 x_{17} & +  0.00 x_{21} & -0.26 x_{5} & -0.01 x_{22} & -0.07 x_{18} & -0.49 x_{14} & +  0.03 x_{25} & +  0.05 x_{31}\\
 x_{9}   &  4.22614517945 & +  0.06 x_{29} & +  0.01 x_{20} & +  0.04 x_{26} & -1.48 x_{15} & -0.01 x_{32} & +  0.01 x_{30} & -0.03 x_{19} & -1.50 x_{12} & -0.01 x_{17} & +  0.06 x_{21} & -0.67 x_{5} & -0.09 x_{22} & -0.09 x_{18} & +  0.41 x_{14} & +  0.02 x_{25} & +  0.02 x_{31}\\
 x_{27}   &  6.30060429983 & +  0.24 x_{29} & +  0.63 x_{20} & -0.51 x_{26} & +  4.53 x_{15} & +  0.06 x_{32} & -0.05 x_{30} & -0.84 x_{19} & +  9.95 x_{12} & +  0.94 x_{17} & +  0.88 x_{21} & -12.49 x_{5} & +  0.62 x_{22} & -0.16 x_{18} & + 13.30 x_{14} & -0.24 x_{25} & -1.47 x_{31}\\
 x_{28}   &  161.434118459 & +  0.59 x_{29} & -0.19 x_{20} & +  0.77 x_{26} & -24.24 x_{15} & -0.14 x_{32} & +  0.11 x_{30} & -1.08 x_{19} & -26.08 x_{12} & -0.04 x_{17} & +  0.34 x_{21} & -13.80 x_{5} & -2.01 x_{22} & -1.52 x_{18} & +  0.29 x_{14} & +  0.34 x_{25} & +  0.42 x_{31}\\
 x_{13}   &  0.149434513522 & -0.03 x_{29} & +  0.01 x_{20} & +  0.00 x_{26} & -0.34 x_{15} & +  0.03 x_{32} & +  0.02 x_{30} & -0.01 x_{19} & +  0.21 x_{12} & +  0.03 x_{17} & -0.04 x_{21} & +  1.01 x_{5} & -0.03 x_{22} & +  0.07 x_{18} & -0.03 x_{14} & +  0.01 x_{25} & +  0.03 x_{31}\\
 x_{4}   &  1.1133453907 & +  0.03 x_{29} & -0.01 x_{20} & -0.02 x_{26} & +  1.26 x_{15} & -0.01 x_{32} & +  0.01 x_{30} & -0.01 x_{19} & +  0.20 x_{12} & -0.05 x_{17} & -0.04 x_{21} & -1.22 x_{5} & +  0.00 x_{22} & +  0.02 x_{18} & -0.40 x_{14} & +  0.03 x_{25} & -0.04 x_{31}\\
 x_{16}   &  7.60865106915 & +  0.05 x_{29} & +  0.03 x_{20} & +  0.02 x_{26} & -0.72 x_{15} & -0.06 x_{32} & -0.02 x_{30} & -0.07 x_{19} & -1.17 x_{12} & -0.06 x_{17} & +  0.03 x_{21} & -1.96 x_{5} & -0.04 x_{22} & -0.07 x_{18} & -0.13 x_{14} & -0.02 x_{25} & -0.02 x_{31}\\
 x_{11}   &  4.38315500284 & +  0.03 x_{29} & +  0.02 x_{20} & -0.01 x_{26} & -0.20 x_{15} & -0.03 x_{32} & -0.03 x_{30} & -0.07 x_{19} & +  0.21 x_{12} & +  0.03 x_{17} & -0.02 x_{21} & -1.60 x_{5} & -0.02 x_{22} & +  0.01 x_{18} & +  0.43 x_{14} & +  0.01 x_{25} & -0.07 x_{31}\\
\hline
z    &  26.4264052473 & +  0.19 x_{29} & +  0.14 x_{20} & +  0.26 x_{26} & -1.57 x_{15} & -0.13 x_{32} & -0.04 x_{30} & -0.31 x_{19} & -2.89 x_{12} & -0.12 x_{17} & +  0.27 x_{21} & -10.01 x_{5} & -0.23 x_{22} & -0.41 x_{18} & -1.32 x_{14} & +  0.33 x_{25} & -0.38 x_{31}\\
\end{array}\]


 $ x_{20} $ enters and $ x_{2} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{7}   &  4.4179344878 & +  0.06 x_{29} & -1.38 x_{2} & -0.02 x_{26} & -0.84 x_{15} & -0.00 x_{32} & +  0.01 x_{30} & +  0.05 x_{19} & -1.71 x_{12} & -0.07 x_{17} & +  0.03 x_{21} & -0.59 x_{5} & -0.06 x_{22} & -0.16 x_{18} & -1.12 x_{14} & +  0.01 x_{25} & +  0.15 x_{31}\\
 x_{3}   &  6.21257336739 & +  0.03 x_{29} & -0.64 x_{2} & +  0.04 x_{26} & -1.86 x_{15} & +  0.06 x_{32} & +  0.02 x_{30} & -0.00 x_{19} & -1.59 x_{12} & -0.02 x_{17} & +  0.03 x_{21} & +  1.12 x_{5} & -0.08 x_{22} & -0.13 x_{18} & -0.41 x_{14} & -0.01 x_{25} & +  0.16 x_{31}\\
 x_{24}   &  148.407744171 & +  1.74 x_{29} & -29.09 x_{2} & +  0.57 x_{26} & -23.80 x_{15} & -0.05 x_{32} & +  0.02 x_{30} & +  0.54 x_{19} & -43.94 x_{12} & -2.51 x_{17} & +  1.34 x_{21} & -21.72 x_{5} & -1.93 x_{22} & -4.59 x_{18} & -21.55 x_{14} & -0.16 x_{25} & +  4.09 x_{31}\\
 x_{10}   &  1.06882018619 & -0.03 x_{29} & +  0.00 x_{2} & -0.01 x_{26} & -0.72 x_{15} & +  0.02 x_{32} & +  0.01 x_{30} & +  0.01 x_{19} & -0.47 x_{12} & +  0.06 x_{17} & -0.02 x_{21} & +  0.51 x_{5} & -0.04 x_{22} & +  0.01 x_{18} & +  0.81 x_{14} & -0.03 x_{25} & +  0.01 x_{31}\\
 x_{1}   &  7.18931432726 & +  0.05 x_{29} & -0.67 x_{2} & +  0.01 x_{26} & -1.73 x_{15} & +  0.03 x_{32} & -0.02 x_{30} & +  0.00 x_{19} & -1.82 x_{12} & -0.09 x_{17} & +  0.06 x_{21} & -0.44 x_{5} & -0.10 x_{22} & -0.17 x_{18} & -1.25 x_{14} & +  0.01 x_{25} & +  0.16 x_{31}\\
 x_{6}   &  11.4084925261 & +  0.12 x_{29} & -1.88 x_{2} & +  0.05 x_{26} & -2.50 x_{15} & +  0.01 x_{32} & -0.02 x_{30} & +  0.03 x_{19} & -3.07 x_{12} & -0.12 x_{17} & +  0.03 x_{21} & -0.81 x_{5} & -0.18 x_{22} & -0.23 x_{18} & -1.95 x_{14} & +  0.00 x_{25} & +  0.28 x_{31}\\
 x_{23}   &  4.49923411046 & +  0.02 x_{29} & +  7.86 x_{2} & +  0.25 x_{26} & -2.41 x_{15} & -0.14 x_{32} & +  0.25 x_{30} & -1.39 x_{19} & + 15.23 x_{12} & +  1.98 x_{17} & +  0.34 x_{21} & -1.81 x_{5} & +  0.31 x_{22} & +  1.30 x_{18} & + 45.30 x_{14} & -0.49 x_{25} & -2.82 x_{31}\\
 x_{20}   &  86.644378656 & +  1.13 x_{29} & -33.00 x_{2} & +  0.47 x_{26} & -24.06 x_{15} & +  0.01 x_{32} & -0.07 x_{30} & +  0.97 x_{19} & -29.36 x_{12} & -1.13 x_{17} & +  0.28 x_{21} & +  1.69 x_{5} & -1.43 x_{22} & -2.61 x_{18} & -20.07 x_{14} & +  0.23 x_{25} & +  3.36 x_{31}\\
 x_{8}   &  2.49484796325 & -0.01 x_{29} & -0.02 x_{2} & +  0.02 x_{26} & -0.68 x_{15} & -0.02 x_{32} & -0.01 x_{30} & +  0.04 x_{19} & -0.58 x_{12} & -0.05 x_{17} & +  0.00 x_{21} & -0.26 x_{5} & -0.02 x_{22} & -0.07 x_{18} & -0.50 x_{14} & +  0.03 x_{25} & +  0.05 x_{31}\\
 x_{9}   &  5.2977428932 & +  0.07 x_{29} & -0.41 x_{2} & +  0.05 x_{26} & -1.77 x_{15} & -0.01 x_{32} & +  0.01 x_{30} & -0.02 x_{19} & -1.86 x_{12} & -0.02 x_{17} & +  0.07 x_{21} & -0.65 x_{5} & -0.11 x_{22} & -0.13 x_{18} & +  0.16 x_{14} & +  0.02 x_{25} & +  0.06 x_{31}\\
 x_{27}   &  61.1156250827 & +  0.95 x_{29} & -20.88 x_{2} & -0.21 x_{26} & -10.69 x_{15} & +  0.06 x_{32} & -0.09 x_{30} & -0.22 x_{19} & -8.62 x_{12} & +  0.22 x_{17} & +  1.06 x_{21} & -11.41 x_{5} & -0.29 x_{22} & -1.81 x_{18} & +  0.60 x_{14} & -0.10 x_{25} & +  0.65 x_{31}\\
 x_{28}   &  145.322730449 & +  0.38 x_{29} & +  6.14 x_{2} & +  0.68 x_{26} & -19.76 x_{15} & -0.15 x_{32} & +  0.12 x_{30} & -1.26 x_{19} & -20.62 x_{12} & +  0.17 x_{17} & +  0.29 x_{21} & -14.11 x_{5} & -1.74 x_{22} & -1.04 x_{18} & +  4.02 x_{14} & +  0.30 x_{25} & -0.21 x_{31}\\
 x_{13}   &  0.839765663951 & -0.02 x_{29} & -0.26 x_{2} & +  0.00 x_{26} & -0.53 x_{15} & +  0.03 x_{32} & +  0.02 x_{30} & +  0.00 x_{19} & -0.02 x_{12} & +  0.02 x_{17} & -0.04 x_{21} & +  1.02 x_{5} & -0.05 x_{22} & +  0.05 x_{18} & -0.19 x_{14} & +  0.01 x_{25} & +  0.06 x_{31}\\
 x_{4}   &  0.370598136687 & +  0.02 x_{29} & +  0.28 x_{2} & -0.02 x_{26} & +  1.46 x_{15} & -0.01 x_{32} & +  0.01 x_{30} & -0.02 x_{19} & +  0.45 x_{12} & -0.04 x_{17} & -0.04 x_{21} & -1.23 x_{5} & +  0.02 x_{22} & +  0.04 x_{18} & -0.23 x_{14} & +  0.03 x_{25} & -0.07 x_{31}\\
 x_{16}   &  10.0507528303 & +  0.08 x_{29} & -0.93 x_{2} & +  0.03 x_{26} & -1.40 x_{15} & -0.06 x_{32} & -0.02 x_{30} & -0.05 x_{19} & -2.00 x_{12} & -0.09 x_{17} & +  0.03 x_{21} & -1.91 x_{5} & -0.08 x_{22} & -0.14 x_{18} & -0.70 x_{14} & -0.01 x_{25} & +  0.07 x_{31}\\
 x_{11}   &  6.36681533494 & +  0.06 x_{29} & -0.76 x_{2} & -0.00 x_{26} & -0.75 x_{15} & -0.03 x_{32} & -0.03 x_{30} & -0.05 x_{19} & -0.46 x_{12} & -0.00 x_{17} & -0.01 x_{21} & -1.56 x_{5} & -0.06 x_{22} & -0.05 x_{18} & -0.03 x_{14} & +  0.01 x_{25} & +  0.01 x_{31}\\
\hline
z    &  38.1559792159 & +  0.35 x_{29} & -4.47 x_{2} & +  0.33 x_{26} & -4.82 x_{15} & -0.13 x_{32} & -0.04 x_{30} & -0.18 x_{19} & -6.87 x_{12} & -0.28 x_{17} & +  0.31 x_{21} & -9.78 x_{5} & -0.42 x_{22} & -0.76 x_{18} & -4.04 x_{14} & +  0.36 x_{25} & +  0.08 x_{31}\\
\end{array}\]


 $ x_{21} $ enters and $ x_{4} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{7}   &  4.70893438263 & +  0.08 x_{29} & -1.15 x_{2} & -0.04 x_{26} & +  0.31 x_{15} & -0.01 x_{32} & +  0.02 x_{30} & +  0.03 x_{19} & -1.35 x_{12} & -0.10 x_{17} & -0.79 x_{4} & -1.56 x_{5} & -0.04 x_{22} & -0.12 x_{18} & -1.29 x_{14} & +  0.03 x_{25} & +  0.10 x_{31}\\
 x_{3}   &  6.4581266412 & +  0.05 x_{29} & -0.46 x_{2} & +  0.02 x_{26} & -0.89 x_{15} & +  0.05 x_{32} & +  0.03 x_{30} & -0.02 x_{19} & -1.29 x_{12} & -0.04 x_{17} & -0.66 x_{4} & +  0.31 x_{5} & -0.07 x_{22} & -0.10 x_{18} & -0.56 x_{14} & +  0.01 x_{25} & +  0.11 x_{31}\\
 x_{24}   &  159.770205877 & +  2.49 x_{29} & -20.41 x_{2} & -0.02 x_{26} & + 21.10 x_{15} & -0.45 x_{32} & +  0.45 x_{30} & -0.09 x_{19} & -30.03 x_{12} & -3.75 x_{17} & -30.66 x_{4} & -59.44 x_{5} & -1.43 x_{22} & -3.24 x_{18} & -28.48 x_{14} & +  0.72 x_{25} & +  1.85 x_{31}\\
 x_{10}   &  0.91203967324 & -0.05 x_{29} & -0.12 x_{2} & -0.00 x_{26} & -1.34 x_{15} & +  0.03 x_{32} & +  0.01 x_{30} & +  0.02 x_{19} & -0.66 x_{12} & +  0.08 x_{17} & +  0.42 x_{4} & +  1.03 x_{5} & -0.05 x_{22} & -0.01 x_{18} & +  0.91 x_{14} & -0.04 x_{25} & +  0.04 x_{31}\\
 x_{1}   &  7.68741601851 & +  0.08 x_{29} & -0.29 x_{2} & -0.01 x_{26} & +  0.24 x_{15} & +  0.01 x_{32} & -0.00 x_{30} & -0.03 x_{19} & -1.22 x_{12} & -0.15 x_{17} & -1.34 x_{4} & -2.09 x_{5} & -0.08 x_{22} & -0.11 x_{18} & -1.56 x_{14} & +  0.05 x_{25} & +  0.06 x_{31}\\
 x_{6}   &  11.637544318 & +  0.13 x_{29} & -1.71 x_{2} & +  0.04 x_{26} & -1.59 x_{15} & +  0.01 x_{32} & -0.02 x_{30} & +  0.02 x_{19} & -2.79 x_{12} & -0.15 x_{17} & -0.62 x_{4} & -1.57 x_{5} & -0.17 x_{22} & -0.21 x_{18} & -2.09 x_{14} & +  0.02 x_{25} & +  0.23 x_{31}\\
 x_{23}   &  7.36590868904 & +  0.20 x_{29} & + 10.05 x_{2} & +  0.10 x_{26} & +  8.92 x_{15} & -0.24 x_{32} & +  0.35 x_{30} & -1.55 x_{19} & + 18.74 x_{12} & +  1.67 x_{17} & -7.74 x_{4} & -11.32 x_{5} & +  0.44 x_{22} & +  1.64 x_{18} & + 43.55 x_{14} & -0.27 x_{25} & -3.38 x_{31}\\
 x_{20}   &  89.0438952391 & +  1.28 x_{29} & -31.17 x_{2} & +  0.34 x_{26} & -14.58 x_{15} & -0.08 x_{32} & +  0.02 x_{30} & +  0.84 x_{19} & -26.42 x_{12} & -1.40 x_{17} & -6.47 x_{4} & -6.27 x_{5} & -1.33 x_{22} & -2.32 x_{18} & -21.53 x_{14} & +  0.41 x_{25} & +  2.89 x_{31}\\
 x_{8}   &  2.52974557817 & -0.01 x_{29} & +  0.01 x_{2} & +  0.02 x_{26} & -0.54 x_{15} & -0.02 x_{32} & -0.01 x_{30} & +  0.03 x_{19} & -0.54 x_{12} & -0.05 x_{17} & -0.09 x_{4} & -0.38 x_{5} & -0.01 x_{22} & -0.07 x_{18} & -0.52 x_{14} & +  0.03 x_{25} & +  0.04 x_{31}\\
 x_{9}   &  5.87307484134 & +  0.11 x_{29} & +  0.03 x_{2} & +  0.02 x_{26} & +  0.50 x_{15} & -0.03 x_{32} & +  0.03 x_{30} & -0.05 x_{19} & -1.16 x_{12} & -0.08 x_{17} & -1.55 x_{4} & -2.56 x_{5} & -0.09 x_{22} & -0.06 x_{18} & -0.19 x_{14} & +  0.06 x_{25} & -0.05 x_{31}\\
 x_{27}   &  70.098568486 & +  1.54 x_{29} & -14.02 x_{2} & -0.68 x_{26} & + 24.80 x_{15} & -0.26 x_{32} & +  0.25 x_{30} & -0.72 x_{19} & +  2.37 x_{12} & -0.76 x_{17} & -24.24 x_{4} & -41.24 x_{5} & +  0.10 x_{22} & -0.74 x_{18} & -4.88 x_{14} & +  0.59 x_{25} & -1.11 x_{31}\\
 x_{28}   &  147.775062579 & +  0.54 x_{29} & +  8.01 x_{2} & +  0.55 x_{26} & -10.07 x_{15} & -0.23 x_{32} & +  0.22 x_{30} & -1.40 x_{19} & -17.61 x_{12} & -0.09 x_{17} & -6.62 x_{4} & -22.25 x_{5} & -1.63 x_{22} & -0.74 x_{18} & +  2.52 x_{14} & +  0.49 x_{25} & -0.69 x_{31}\\
 x_{13}   &  0.514795290499 & -0.04 x_{29} & -0.51 x_{2} & +  0.02 x_{26} & -1.82 x_{15} & +  0.05 x_{32} & +  0.01 x_{30} & +  0.02 x_{19} & -0.42 x_{12} & +  0.06 x_{17} & +  0.88 x_{4} & +  2.10 x_{5} & -0.06 x_{22} & +  0.01 x_{18} & +  0.01 x_{14} & -0.02 x_{25} & +  0.12 x_{31}\\
 x_{21}   &  8.5065136278 & +  0.56 x_{29} & +  6.49 x_{2} & -0.44 x_{26} & + 33.61 x_{15} & -0.30 x_{32} & +  0.32 x_{30} & -0.47 x_{19} & + 10.41 x_{12} & -0.93 x_{17} & -22.95 x_{4} & -28.24 x_{5} & +  0.37 x_{22} & +  1.02 x_{18} & -5.19 x_{14} & +  0.66 x_{25} & -1.67 x_{31}\\
 x_{16}   &  10.3380872736 & +  0.10 x_{29} & -0.71 x_{2} & +  0.01 x_{26} & -0.26 x_{15} & -0.07 x_{32} & -0.01 x_{30} & -0.06 x_{19} & -1.65 x_{12} & -0.12 x_{17} & -0.78 x_{4} & -2.87 x_{5} & -0.07 x_{22} & -0.11 x_{18} & -0.88 x_{14} & +  0.01 x_{25} & +  0.02 x_{31}\\
 x_{11}   &  6.27558446844 & +  0.05 x_{29} & -0.83 x_{2} & +  0.00 x_{26} & -1.11 x_{15} & -0.02 x_{32} & -0.03 x_{30} & -0.05 x_{19} & -0.57 x_{12} & +  0.01 x_{17} & +  0.25 x_{4} & -1.25 x_{5} & -0.06 x_{22} & -0.06 x_{18} & +  0.03 x_{14} & +  0.01 x_{25} & +  0.03 x_{31}\\
\hline
z    &  40.7835398746 & +  0.52 x_{29} & -2.46 x_{2} & +  0.19 x_{26} & +  5.56 x_{15} & -0.22 x_{32} & +  0.05 x_{30} & -0.32 x_{19} & -3.65 x_{12} & -0.56 x_{17} & -7.09 x_{4} & -18.50 x_{5} & -0.31 x_{22} & -0.45 x_{18} & -5.64 x_{14} & +  0.57 x_{25} & -0.44 x_{31}\\
\end{array}\]


 $ x_{15} $ enters and $ x_{13} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{7}   &  4.7959360036 & +  0.07 x_{29} & -1.24 x_{2} & -0.04 x_{26} & -0.17 x_{13} & -0.00 x_{32} & +  0.02 x_{30} & +  0.03 x_{19} & -1.42 x_{12} & -0.09 x_{17} & -0.64 x_{4} & -1.20 x_{5} & -0.05 x_{22} & -0.12 x_{18} & -1.29 x_{14} & +  0.03 x_{25} & +  0.12 x_{31}\\
 x_{3}   &  6.20574349833 & +  0.07 x_{29} & -0.21 x_{2} & +  0.01 x_{26} & +  0.49 x_{13} & +  0.03 x_{32} & +  0.02 x_{30} & -0.02 x_{19} & -1.08 x_{12} & -0.07 x_{17} & -1.09 x_{4} & -0.72 x_{5} & -0.04 x_{22} & -0.10 x_{18} & -0.56 x_{14} & +  0.02 x_{25} & +  0.06 x_{31}\\
 x_{24}   &  165.746662637 & +  2.00 x_{29} & -26.34 x_{2} & +  0.22 x_{26} & -11.61 x_{13} & +  0.09 x_{32} & +  0.54 x_{30} & +  0.15 x_{19} & -34.89 x_{12} & -3.05 x_{17} & -20.48 x_{4} & -35.09 x_{5} & -2.12 x_{22} & -3.15 x_{18} & -28.37 x_{14} & +  0.53 x_{25} & +  3.24 x_{31}\\
 x_{10}   &  0.531776077259 & -0.01 x_{29} & +  0.26 x_{2} & -0.02 x_{26} & +  0.74 x_{13} & -0.00 x_{32} & +  0.00 x_{30} & +  0.00 x_{19} & -0.35 x_{12} & +  0.03 x_{17} & -0.22 x_{4} & -0.51 x_{5} & -0.00 x_{22} & -0.01 x_{18} & +  0.90 x_{14} & -0.03 x_{25} & -0.05 x_{31}\\
 x_{1}   &  7.75456227565 & +  0.08 x_{29} & -0.36 x_{2} & -0.01 x_{26} & -0.13 x_{13} & +  0.02 x_{32} & +  0.00 x_{30} & -0.02 x_{19} & -1.27 x_{12} & -0.14 x_{17} & -1.23 x_{4} & -1.82 x_{5} & -0.08 x_{22} & -0.11 x_{18} & -1.56 x_{14} & +  0.05 x_{25} & +  0.08 x_{31}\\
 x_{6}   &  11.1858467526 & +  0.17 x_{29} & -1.26 x_{2} & +  0.02 x_{26} & +  0.88 x_{13} & -0.03 x_{32} & -0.02 x_{30} & -0.00 x_{19} & -2.42 x_{12} & -0.20 x_{17} & -1.39 x_{4} & -3.41 x_{5} & -0.11 x_{22} & -0.21 x_{18} & -2.10 x_{14} & +  0.03 x_{25} & +  0.13 x_{31}\\
 x_{23}   &  9.89153203772 & -0.00 x_{29} & +  7.54 x_{2} & +  0.21 x_{26} & -4.91 x_{13} & -0.02 x_{32} & +  0.39 x_{30} & -1.45 x_{19} & + 16.68 x_{12} & +  1.96 x_{17} & -3.43 x_{4} & -1.03 x_{5} & +  0.14 x_{22} & +  1.68 x_{18} & + 43.59 x_{14} & -0.35 x_{25} & -2.80 x_{31}\\
 x_{20}   &  84.9138005883 & +  1.62 x_{29} & -27.07 x_{2} & +  0.18 x_{26} & +  8.02 x_{13} & -0.45 x_{32} & -0.04 x_{30} & +  0.67 x_{19} & -23.06 x_{12} & -1.88 x_{17} & -13.51 x_{4} & -23.10 x_{5} & -0.85 x_{22} & -2.38 x_{18} & -21.60 x_{14} & +  0.54 x_{25} & +  1.93 x_{31}\\
 x_{8}   &  2.37627539744 & +  0.00 x_{29} & +  0.16 x_{2} & +  0.02 x_{26} & +  0.30 x_{13} & -0.03 x_{32} & -0.01 x_{30} & +  0.03 x_{19} & -0.41 x_{12} & -0.07 x_{17} & -0.36 x_{4} & -1.00 x_{5} & +  0.00 x_{22} & -0.07 x_{18} & -0.53 x_{14} & +  0.03 x_{25} & +  0.01 x_{31}\\
 x_{9}   &  6.01428204279 & +  0.10 x_{29} & -0.11 x_{2} & +  0.03 x_{26} & -0.27 x_{13} & -0.01 x_{32} & +  0.03 x_{30} & -0.04 x_{19} & -1.27 x_{12} & -0.07 x_{17} & -1.31 x_{4} & -1.98 x_{5} & -0.10 x_{22} & -0.05 x_{18} & -0.19 x_{14} & +  0.06 x_{25} & -0.02 x_{31}\\
 x_{27}   &  77.1251611316 & +  0.96 x_{29} & -21.00 x_{2} & -0.40 x_{26} & -13.65 x_{13} & +  0.37 x_{32} & +  0.35 x_{30} & -0.44 x_{19} & -3.35 x_{12} & +  0.06 x_{17} & -12.27 x_{4} & -12.61 x_{5} & -0.71 x_{22} & -0.63 x_{18} & -4.75 x_{14} & +  0.37 x_{25} & +  0.53 x_{31}\\
 x_{28}   &  144.921726204 & +  0.78 x_{29} & + 10.84 x_{2} & +  0.44 x_{26} & +  5.54 x_{13} & -0.49 x_{32} & +  0.18 x_{30} & -1.51 x_{19} & -15.29 x_{12} & -0.43 x_{17} & -11.48 x_{4} & -33.88 x_{5} & -1.30 x_{22} & -0.79 x_{18} & +  2.47 x_{14} & +  0.58 x_{25} & -1.35 x_{31}\\
 x_{15}   &  0.28329543034 & -0.02 x_{29} & -0.28 x_{2} & +  0.01 x_{26} & -0.55 x_{13} & +  0.03 x_{32} & +  0.00 x_{30} & +  0.01 x_{19} & -0.23 x_{12} & +  0.03 x_{17} & +  0.48 x_{4} & +  1.15 x_{5} & -0.03 x_{22} & +  0.00 x_{18} & +  0.00 x_{14} & -0.01 x_{25} & +  0.07 x_{31}\\
 x_{21}   &  18.0284064929 & -0.22 x_{29} & -2.96 x_{2} & -0.06 x_{26} & -18.50 x_{13} & +  0.55 x_{32} & +  0.46 x_{30} & -0.10 x_{19} & +  2.66 x_{12} & +  0.18 x_{17} & -6.73 x_{4} & + 10.56 x_{5} & -0.73 x_{22} & +  1.16 x_{18} & -5.02 x_{14} & +  0.36 x_{25} & +  0.55 x_{31}\\
 x_{16}   &  10.2634700733 & +  0.10 x_{29} & -0.64 x_{2} & +  0.01 x_{26} & +  0.14 x_{13} & -0.08 x_{32} & -0.01 x_{30} & -0.06 x_{19} & -1.59 x_{12} & -0.13 x_{17} & -0.90 x_{4} & -3.17 x_{5} & -0.06 x_{22} & -0.11 x_{18} & -0.88 x_{14} & +  0.01 x_{25} & -0.00 x_{31}\\
 x_{11}   &  5.96147926633 & +  0.08 x_{29} & -0.51 x_{2} & -0.01 x_{26} & +  0.61 x_{13} & -0.05 x_{32} & -0.04 x_{30} & -0.06 x_{19} & -0.32 x_{12} & -0.03 x_{17} & -0.29 x_{4} & -2.53 x_{5} & -0.02 x_{22} & -0.06 x_{18} & +  0.02 x_{14} & +  0.02 x_{25} & -0.05 x_{31}\\
\hline
z    &  42.3585088269 & +  0.39 x_{29} & -4.03 x_{2} & +  0.25 x_{26} & -3.06 x_{13} & -0.08 x_{32} & +  0.08 x_{30} & -0.26 x_{19} & -4.94 x_{12} & -0.38 x_{17} & -4.41 x_{4} & -12.08 x_{5} & -0.49 x_{22} & -0.43 x_{18} & -5.61 x_{14} & +  0.52 x_{25} & -0.07 x_{31}\\
\end{array}\]


 $ x_{25} $ enters and $ x_{10} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{7}   &  5.26782548466 & +  0.06 x_{29} & -1.01 x_{2} & -0.05 x_{26} & +  0.49 x_{13} & -0.01 x_{32} & +  0.02 x_{30} & +  0.04 x_{19} & -1.74 x_{12} & -0.06 x_{17} & -0.84 x_{4} & -1.66 x_{5} & -0.06 x_{22} & -0.13 x_{18} & -0.49 x_{14} & -0.89 x_{10} & +  0.07 x_{31}\\
 x_{3}   &  6.48869674719 & +  0.06 x_{29} & -0.07 x_{2} & +  0.00 x_{26} & +  0.88 x_{13} & +  0.03 x_{32} & +  0.02 x_{30} & -0.02 x_{19} & -1.27 x_{12} & -0.05 x_{17} & -1.21 x_{4} & -0.99 x_{5} & -0.04 x_{22} & -0.11 x_{18} & -0.08 x_{14} & -0.53 x_{10} & +  0.03 x_{31}\\
 x_{24}   &  175.756129899 & +  1.74 x_{29} & -21.48 x_{2} & -0.08 x_{26} & +  2.29 x_{13} & -0.01 x_{32} & +  0.55 x_{30} & +  0.22 x_{19} & -41.55 x_{12} & -2.40 x_{17} & -24.71 x_{4} & -44.77 x_{5} & -2.16 x_{22} & -3.40 x_{18} & -11.39 x_{14} & -18.82 x_{10} & +  2.26 x_{31}\\
 x_{25}   &  18.8289367544 & -0.49 x_{29} & +  9.15 x_{2} & -0.56 x_{26} & + 26.15 x_{13} & -0.17 x_{32} & +  0.02 x_{30} & +  0.13 x_{19} & -12.53 x_{12} & +  1.23 x_{17} & -7.96 x_{4} & -18.22 x_{5} & -0.06 x_{22} & -0.49 x_{18} & + 31.95 x_{14} & -35.41 x_{10} & -1.85 x_{31}\\
 x_{1}   &  8.61012185746 & +  0.05 x_{29} & +  0.06 x_{2} & -0.04 x_{26} & +  1.06 x_{13} & +  0.01 x_{32} & +  0.00 x_{30} & -0.02 x_{19} & -1.84 x_{12} & -0.08 x_{17} & -1.59 x_{4} & -2.64 x_{5} & -0.09 x_{22} & -0.14 x_{18} & -0.10 x_{14} & -1.61 x_{10} & -0.01 x_{31}\\
 x_{6}   &  11.816812965 & +  0.15 x_{29} & -0.95 x_{2} & -0.00 x_{26} & +  1.75 x_{13} & -0.04 x_{32} & -0.02 x_{30} & +  0.00 x_{19} & -2.84 x_{12} & -0.16 x_{17} & -1.65 x_{4} & -4.02 x_{5} & -0.12 x_{22} & -0.23 x_{18} & -1.03 x_{14} & -1.19 x_{10} & +  0.06 x_{31}\\
 x_{23}   &  3.38083070209 & +  0.17 x_{29} & +  4.38 x_{2} & +  0.40 x_{26} & -13.95 x_{13} & +  0.04 x_{32} & +  0.38 x_{30} & -1.49 x_{19} & + 21.01 x_{12} & +  1.54 x_{17} & -0.68 x_{4} & +  5.27 x_{5} & +  0.17 x_{22} & +  1.85 x_{18} & + 32.55 x_{14} & + 12.24 x_{10} & -2.16 x_{31}\\
 x_{20}   &  95.0877739239 & +  1.36 x_{29} & -22.13 x_{2} & -0.12 x_{26} & + 22.16 x_{13} & -0.54 x_{32} & -0.02 x_{30} & +  0.74 x_{19} & -29.83 x_{12} & -1.22 x_{17} & -17.81 x_{4} & -32.95 x_{5} & -0.88 x_{22} & -2.65 x_{18} & -4.34 x_{14} & -19.13 x_{10} & +  0.93 x_{31}\\
 x_{8}   &  3.01850175654 & -0.02 x_{29} & +  0.47 x_{2} & -0.00 x_{26} & +  1.19 x_{13} & -0.04 x_{32} & -0.01 x_{30} & +  0.03 x_{19} & -0.84 x_{12} & -0.03 x_{17} & -0.63 x_{4} & -1.62 x_{5} & +  0.00 x_{22} & -0.09 x_{18} & +  0.56 x_{14} & -1.21 x_{10} & -0.06 x_{31}\\
 x_{9}   &  7.12298881342 & +  0.07 x_{29} & +  0.43 x_{2} & -0.01 x_{26} & +  1.27 x_{13} & -0.02 x_{32} & +  0.03 x_{30} & -0.03 x_{19} & -2.01 x_{12} & +  0.01 x_{17} & -1.78 x_{4} & -3.05 x_{5} & -0.11 x_{22} & -0.08 x_{18} & +  1.69 x_{14} & -2.08 x_{10} & -0.13 x_{31}\\
 x_{27}   &  84.1531735148 & +  0.78 x_{29} & -17.58 x_{2} & -0.60 x_{26} & -3.89 x_{13} & +  0.31 x_{32} & +  0.36 x_{30} & -0.39 x_{19} & -8.02 x_{12} & +  0.52 x_{17} & -15.24 x_{4} & -19.41 x_{5} & -0.74 x_{22} & -0.81 x_{18} & +  7.17 x_{14} & -13.22 x_{10} & -0.17 x_{31}\\
 x_{28}   &  155.762753706 & +  0.49 x_{29} & + 16.11 x_{2} & +  0.12 x_{26} & + 20.60 x_{13} & -0.59 x_{32} & +  0.19 x_{30} & -1.44 x_{19} & -22.51 x_{12} & +  0.28 x_{17} & -16.06 x_{4} & -44.37 x_{5} & -1.34 x_{22} & -1.06 x_{18} & + 20.87 x_{14} & -20.39 x_{10} & -2.42 x_{31}\\
 x_{15}   &  0.115307823688 & -0.02 x_{29} & -0.36 x_{2} & +  0.02 x_{26} & -0.78 x_{13} & +  0.03 x_{32} & +  0.00 x_{30} & +  0.01 x_{19} & -0.12 x_{12} & +  0.02 x_{17} & +  0.55 x_{4} & +  1.32 x_{5} & -0.03 x_{22} & +  0.01 x_{18} & -0.28 x_{14} & +  0.32 x_{10} & +  0.08 x_{31}\\
 x_{21}   &  24.7374795705 & -0.40 x_{29} & +  0.30 x_{2} & -0.26 x_{26} & -9.18 x_{13} & +  0.49 x_{32} & +  0.47 x_{30} & -0.05 x_{19} & -1.80 x_{12} & +  0.62 x_{17} & -9.57 x_{4} & +  4.07 x_{5} & -0.76 x_{22} & +  0.99 x_{18} & +  6.36 x_{14} & -12.62 x_{10} & -0.11 x_{31}\\
 x_{16}   &  10.443479056 & +  0.10 x_{29} & -0.55 x_{2} & +  0.01 x_{26} & +  0.39 x_{13} & -0.08 x_{32} & -0.01 x_{30} & -0.06 x_{19} & -1.71 x_{12} & -0.12 x_{17} & -0.98 x_{4} & -3.35 x_{5} & -0.06 x_{22} & -0.12 x_{18} & -0.57 x_{14} & -0.34 x_{10} & -0.02 x_{31}\\
 x_{11}   &  6.27187361105 & +  0.07 x_{29} & -0.36 x_{2} & -0.02 x_{26} & +  1.04 x_{13} & -0.05 x_{32} & -0.04 x_{30} & -0.06 x_{19} & -0.52 x_{12} & -0.01 x_{17} & -0.42 x_{4} & -2.83 x_{5} & -0.03 x_{22} & -0.07 x_{18} & +  0.55 x_{14} & -0.58 x_{10} & -0.08 x_{31}\\
\hline
z    &  52.1115820352 & +  0.13 x_{29} & +  0.71 x_{2} & -0.04 x_{26} & + 10.49 x_{13} & -0.17 x_{32} & +  0.09 x_{30} & -0.19 x_{19} & -11.42 x_{12} & +  0.26 x_{17} & -8.53 x_{4} & -21.52 x_{5} & -0.52 x_{22} & -0.68 x_{18} & + 10.94 x_{14} & -18.34 x_{10} & -1.03 x_{31}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{15} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{7}   &  4.9463528652 & +  0.11 x_{29} & +  2.79 x_{15} & -0.10 x_{26} & +  2.67 x_{13} & -0.08 x_{32} & +  0.01 x_{30} & +  0.01 x_{19} & -1.41 x_{12} & -0.12 x_{17} & -2.38 x_{4} & -5.33 x_{5} & +  0.03 x_{22} & -0.16 x_{18} & +  0.29 x_{14} & -1.77 x_{10} & -0.16 x_{31}\\
 x_{3}   &  6.46704383207 & +  0.07 x_{29} & +  0.19 x_{15} & +  0.00 x_{26} & +  1.03 x_{13} & +  0.02 x_{32} & +  0.02 x_{30} & -0.02 x_{19} & -1.25 x_{12} & -0.06 x_{17} & -1.32 x_{4} & -1.24 x_{5} & -0.04 x_{22} & -0.11 x_{18} & -0.03 x_{14} & -0.59 x_{10} & +  0.01 x_{31}\\
 x_{24}   &  168.93059428 & +  2.86 x_{29} & + 59.19 x_{15} & -1.05 x_{26} & + 48.68 x_{13} & -1.60 x_{32} & +  0.32 x_{30} & -0.37 x_{19} & -34.52 x_{12} & -3.71 x_{17} & -57.47 x_{4} & -122.72 x_{5} & -0.24 x_{22} & -3.91 x_{18} & +  5.19 x_{14} & -37.52 x_{10} & -2.63 x_{31}\\
 x_{25}   &  21.7366802788 & -0.97 x_{29} & -25.22 x_{15} & -0.14 x_{26} & +  6.39 x_{13} & +  0.50 x_{32} & +  0.12 x_{30} & +  0.38 x_{19} & -15.52 x_{12} & +  1.79 x_{17} & +  6.00 x_{4} & + 14.99 x_{5} & -0.88 x_{22} & -0.27 x_{18} & + 24.89 x_{14} & -27.44 x_{10} & +  0.23 x_{31}\\
 x_{1}   &  8.62911554071 & +  0.05 x_{29} & -0.16 x_{15} & -0.03 x_{26} & +  0.93 x_{13} & +  0.01 x_{32} & +  0.00 x_{30} & -0.02 x_{19} & -1.86 x_{12} & -0.08 x_{17} & -1.50 x_{4} & -2.43 x_{5} & -0.09 x_{22} & -0.13 x_{18} & -0.15 x_{14} & -1.56 x_{10} & +  0.00 x_{31}\\
 x_{6}   &  11.5138667133 & +  0.20 x_{29} & +  2.63 x_{15} & -0.04 x_{26} & +  3.81 x_{13} & -0.11 x_{32} & -0.03 x_{30} & -0.02 x_{19} & -2.53 x_{12} & -0.22 x_{17} & -3.11 x_{4} & -7.48 x_{5} & -0.03 x_{22} & -0.25 x_{18} & -0.29 x_{14} & -2.02 x_{10} & -0.15 x_{31}\\
 x_{23}   &  4.77200957223 & -0.06 x_{29} & -12.06 x_{15} & +  0.60 x_{26} & -23.40 x_{13} & +  0.37 x_{32} & +  0.43 x_{30} & -1.37 x_{19} & + 19.58 x_{12} & +  1.80 x_{17} & +  6.00 x_{4} & + 21.15 x_{5} & -0.22 x_{22} & +  1.95 x_{18} & + 29.17 x_{14} & + 16.05 x_{10} & -1.16 x_{31}\\
 x_{20}   &  88.0563616117 & +  2.51 x_{29} & + 60.98 x_{15} & -1.13 x_{26} & + 69.94 x_{13} & -2.18 x_{32} & -0.26 x_{30} & +  0.14 x_{19} & -22.59 x_{12} & -2.57 x_{17} & -51.56 x_{4} & -113.25 x_{5} & +  1.09 x_{22} & -3.17 x_{18} & + 12.74 x_{14} & -38.40 x_{10} & -4.11 x_{31}\\
 x_{8}   &  3.1679282884 & -0.04 x_{29} & -1.30 x_{15} & +  0.02 x_{26} & +  0.17 x_{13} & -0.00 x_{32} & -0.00 x_{30} & +  0.05 x_{19} & -0.99 x_{12} & +  0.00 x_{17} & +  0.09 x_{4} & +  0.08 x_{5} & -0.04 x_{22} & -0.07 x_{18} & +  0.20 x_{14} & -0.80 x_{10} & +  0.05 x_{31}\\
 x_{9}   &  7.25952370911 & +  0.05 x_{29} & -1.18 x_{15} & +  0.01 x_{26} & +  0.34 x_{13} & +  0.01 x_{32} & +  0.04 x_{30} & -0.02 x_{19} & -2.15 x_{12} & +  0.03 x_{17} & -1.12 x_{4} & -1.50 x_{5} & -0.15 x_{22} & -0.07 x_{18} & +  1.36 x_{14} & -1.71 x_{10} & -0.03 x_{31}\\
 x_{27}   &  78.5662672265 & +  1.70 x_{29} & + 48.45 x_{15} & -1.40 x_{26} & + 34.08 x_{13} & -1.00 x_{32} & +  0.17 x_{30} & -0.88 x_{19} & -2.27 x_{12} & -0.56 x_{17} & -42.06 x_{4} & -83.21 x_{5} & +  0.83 x_{22} & -1.23 x_{18} & + 20.74 x_{14} & -28.52 x_{10} & -4.17 x_{31}\\
 x_{28}   &  160.882056269 & -0.35 x_{29} & -44.40 x_{15} & +  0.85 x_{26} & -14.19 x_{13} & +  0.61 x_{32} & +  0.36 x_{30} & -1.00 x_{19} & -27.78 x_{12} & +  1.26 x_{17} & +  8.52 x_{4} & + 14.10 x_{5} & -2.77 x_{22} & -0.68 x_{18} & +  8.43 x_{14} & -6.36 x_{10} & +  1.24 x_{31}\\
 x_{2}   &  0.3177686707 & -0.05 x_{29} & -2.76 x_{15} & +  0.05 x_{26} & -2.16 x_{13} & +  0.07 x_{32} & +  0.01 x_{30} & +  0.03 x_{19} & -0.33 x_{12} & +  0.06 x_{17} & +  1.53 x_{4} & +  3.63 x_{5} & -0.09 x_{22} & +  0.02 x_{18} & -0.77 x_{14} & +  0.87 x_{10} & +  0.23 x_{31}\\
 x_{21}   &  24.833456161 & -0.42 x_{29} & -0.83 x_{15} & -0.24 x_{26} & -9.83 x_{13} & +  0.51 x_{32} & +  0.47 x_{30} & -0.04 x_{19} & -1.90 x_{12} & +  0.64 x_{17} & -9.11 x_{4} & +  5.16 x_{5} & -0.78 x_{22} & +  0.99 x_{18} & +  6.13 x_{14} & -12.35 x_{10} & -0.05 x_{31}\\
 x_{16}   &  10.2689256915 & +  0.13 x_{29} & +  1.51 x_{15} & -0.02 x_{26} & +  1.58 x_{13} & -0.12 x_{32} & -0.01 x_{30} & -0.08 x_{19} & -1.53 x_{12} & -0.15 x_{17} & -1.82 x_{4} & -5.34 x_{5} & -0.01 x_{22} & -0.13 x_{18} & -0.15 x_{14} & -0.82 x_{10} & -0.14 x_{31}\\
 x_{11}   &  6.15665676 & +  0.09 x_{29} & +  1.00 x_{15} & -0.03 x_{26} & +  1.82 x_{13} & -0.08 x_{32} & -0.04 x_{30} & -0.07 x_{19} & -0.41 x_{12} & -0.03 x_{17} & -0.97 x_{4} & -4.15 x_{5} & +  0.01 x_{22} & -0.08 x_{18} & +  0.83 x_{14} & -0.90 x_{10} & -0.16 x_{31}\\
\hline
z    &  52.3385781356 & +  0.10 x_{29} & -1.97 x_{15} & -0.00 x_{26} & +  8.95 x_{13} & -0.12 x_{32} & +  0.10 x_{30} & -0.17 x_{19} & -11.66 x_{12} & +  0.30 x_{17} & -7.44 x_{4} & -18.93 x_{5} & -0.59 x_{22} & -0.66 x_{18} & + 10.39 x_{14} & -17.72 x_{10} & -0.87 x_{31}\\
\end{array}\]


 $ x_{13} $ enters and $ x_{2} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{7}   &  5.33940708647 & +  0.05 x_{29} & -0.62 x_{15} & -0.04 x_{26} & -1.24 x_{2} & +  0.01 x_{32} & +  0.03 x_{30} & +  0.04 x_{19} & -1.81 x_{12} & -0.04 x_{17} & -0.49 x_{4} & -0.84 x_{5} & -0.08 x_{22} & -0.13 x_{18} & -0.66 x_{14} & -0.69 x_{10} & +  0.12 x_{31}\\
 x_{3}   &  6.61866673064 & +  0.04 x_{29} & -1.13 x_{15} & +  0.02 x_{26} & -0.48 x_{2} & +  0.06 x_{32} & +  0.03 x_{30} & -0.01 x_{19} & -1.40 x_{12} & -0.03 x_{17} & -0.59 x_{4} & +  0.49 x_{5} & -0.08 x_{22} & -0.10 x_{18} & -0.40 x_{14} & -0.18 x_{10} & +  0.12 x_{31}\\
 x_{24}   &  176.093728353 & +  1.68 x_{29} & -2.93 x_{15} & -0.03 x_{26} & -22.54 x_{2} & +  0.07 x_{32} & +  0.56 x_{30} & +  0.25 x_{19} & -41.90 x_{12} & -2.34 x_{17} & -23.09 x_{4} & -40.92 x_{5} & -2.25 x_{22} & -3.38 x_{18} & -12.21 x_{14} & -17.90 x_{10} & +  2.50 x_{31}\\
 x_{25}   &  22.6773588457 & -1.13 x_{29} & -33.38 x_{15} & -0.01 x_{26} & -2.96 x_{2} & +  0.72 x_{32} & +  0.15 x_{30} & +  0.46 x_{19} & -16.49 x_{12} & +  1.97 x_{17} & + 10.52 x_{4} & + 25.73 x_{5} & -1.14 x_{22} & -0.20 x_{18} & + 22.60 x_{14} & -24.86 x_{10} & +  0.90 x_{31}\\
 x_{1}   &  8.76579646515 & +  0.03 x_{29} & -1.35 x_{15} & -0.01 x_{26} & -0.43 x_{2} & +  0.05 x_{32} & +  0.01 x_{30} & -0.00 x_{19} & -2.00 x_{12} & -0.05 x_{17} & -0.84 x_{4} & -0.87 x_{5} & -0.13 x_{22} & -0.12 x_{18} & -0.48 x_{14} & -1.18 x_{10} & +  0.10 x_{31}\\
 x_{6}   &  12.0748820104 & +  0.11 x_{29} & -2.24 x_{15} & +  0.04 x_{26} & -1.77 x_{2} & +  0.02 x_{32} & -0.01 x_{30} & +  0.02 x_{19} & -3.11 x_{12} & -0.11 x_{17} & -0.42 x_{4} & -1.07 x_{5} & -0.19 x_{22} & -0.21 x_{18} & -1.65 x_{14} & -0.48 x_{10} & +  0.25 x_{31}\\
 x_{23}   &  1.32822933976 & +  0.50 x_{29} & + 17.80 x_{15} & +  0.11 x_{26} & + 10.84 x_{2} & -0.44 x_{32} & +  0.31 x_{30} & -1.67 x_{19} & + 23.13 x_{12} & +  1.14 x_{17} & -10.54 x_{4} & -18.18 x_{5} & +  0.74 x_{22} & +  1.70 x_{18} & + 37.53 x_{14} & +  6.62 x_{10} & -3.63 x_{31}\\
 x_{20}   &  98.3477055106 & +  0.82 x_{29} & -28.27 x_{15} & +  0.34 x_{26} & -32.39 x_{2} & +  0.22 x_{32} & +  0.09 x_{30} & +  1.02 x_{19} & -33.19 x_{12} & -0.59 x_{17} & -2.16 x_{4} & +  4.28 x_{5} & -1.80 x_{22} & -2.41 x_{18} & -12.26 x_{14} & -10.20 x_{10} & +  3.26 x_{31}\\
 x_{8}   &  3.1936312622 & -0.04 x_{29} & -1.52 x_{15} & +  0.02 x_{26} & -0.08 x_{2} & +  0.00 x_{32} & -0.00 x_{30} & +  0.05 x_{19} & -1.02 x_{12} & +  0.01 x_{17} & +  0.21 x_{4} & +  0.38 x_{5} & -0.05 x_{22} & -0.07 x_{18} & +  0.14 x_{14} & -0.73 x_{10} & +  0.07 x_{31}\\
 x_{9}   &  7.30923534319 & +  0.04 x_{29} & -1.62 x_{15} & +  0.02 x_{26} & -0.16 x_{2} & +  0.02 x_{32} & +  0.04 x_{30} & -0.02 x_{19} & -2.20 x_{12} & +  0.04 x_{17} & -0.89 x_{4} & -0.93 x_{5} & -0.16 x_{22} & -0.07 x_{18} & +  1.24 x_{14} & -1.57 x_{10} & +  0.01 x_{31}\\
 x_{27}   &  83.5812406549 & +  0.87 x_{29} & +  4.96 x_{15} & -0.69 x_{26} & -15.78 x_{2} & +  0.17 x_{32} & +  0.34 x_{30} & -0.44 x_{19} & -7.43 x_{12} & +  0.41 x_{17} & -17.99 x_{4} & -25.94 x_{5} & -0.58 x_{22} & -0.86 x_{18} & +  8.56 x_{14} & -14.78 x_{10} & -0.58 x_{31}\\
 x_{28}   &  158.794093581 & -0.01 x_{29} & -26.29 x_{15} & +  0.55 x_{26} & +  6.57 x_{2} & +  0.12 x_{32} & +  0.29 x_{30} & -1.18 x_{19} & -25.63 x_{12} & +  0.86 x_{17} & -1.51 x_{4} & -9.75 x_{5} & -2.19 x_{22} & -0.84 x_{18} & + 13.50 x_{14} & -12.08 x_{10} & -0.25 x_{31}\\
 x_{13}   &  0.147141613066 & -0.02 x_{29} & -1.28 x_{15} & +  0.02 x_{26} & -0.46 x_{2} & +  0.03 x_{32} & +  0.00 x_{30} & +  0.01 x_{19} & -0.15 x_{12} & +  0.03 x_{17} & +  0.71 x_{4} & +  1.68 x_{5} & -0.04 x_{22} & +  0.01 x_{18} & -0.36 x_{14} & +  0.40 x_{10} & +  0.11 x_{31}\\
 x_{21}   &  23.3871387244 & -0.18 x_{29} & + 11.71 x_{15} & -0.45 x_{26} & +  4.55 x_{2} & +  0.18 x_{32} & +  0.42 x_{30} & -0.17 x_{19} & -0.41 x_{12} & +  0.36 x_{17} & -16.05 x_{4} & -11.36 x_{5} & -0.38 x_{22} & +  0.89 x_{18} & +  9.64 x_{14} & -16.32 x_{10} & -1.08 x_{31}\\
 x_{16}   &  10.5015983571 & +  0.09 x_{29} & -0.50 x_{15} & +  0.01 x_{26} & -0.73 x_{2} & -0.07 x_{32} & -0.01 x_{30} & -0.06 x_{19} & -1.77 x_{12} & -0.11 x_{17} & -0.70 x_{4} & -2.68 x_{5} & -0.08 x_{22} & -0.11 x_{18} & -0.71 x_{14} & -0.18 x_{10} & +  0.02 x_{31}\\
 x_{11}   &  6.42509398213 & +  0.04 x_{29} & -1.33 x_{15} & +  0.00 x_{26} & -0.84 x_{2} & -0.02 x_{32} & -0.03 x_{30} & -0.04 x_{19} & -0.68 x_{12} & +  0.02 x_{17} & +  0.32 x_{4} & -1.08 x_{5} & -0.07 x_{22} & -0.06 x_{18} & +  0.18 x_{14} & -0.16 x_{10} & +  0.03 x_{31}\\
\hline
z    &  53.6548338224 & -0.12 x_{29} & -13.38 x_{15} & +  0.18 x_{26} & -4.14 x_{2} & +  0.19 x_{32} & +  0.14 x_{30} & -0.06 x_{19} & -13.01 x_{12} & +  0.55 x_{17} & -1.12 x_{4} & -3.90 x_{5} & -0.95 x_{22} & -0.56 x_{18} & +  7.19 x_{14} & -14.11 x_{10} & +  0.08 x_{31}\\
\end{array}\]


 $ x_{14} $ enters and $ x_{13} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{7}   &  5.06574242578 & +  0.09 x_{29} & +  1.75 x_{15} & -0.08 x_{26} & -0.38 x_{2} & -0.06 x_{32} & +  0.02 x_{30} & +  0.02 x_{19} & -1.53 x_{12} & -0.10 x_{17} & -1.81 x_{4} & -3.97 x_{5} & +  0.00 x_{22} & -0.15 x_{18} & +  1.86 x_{13} & -1.44 x_{10} & -0.08 x_{31}\\
 x_{3}   &  6.45466691727 & +  0.07 x_{29} & +  0.30 x_{15} & -0.00 x_{26} & +  0.04 x_{2} & +  0.02 x_{32} & +  0.02 x_{30} & -0.03 x_{19} & -1.24 x_{12} & -0.06 x_{17} & -1.38 x_{4} & -1.38 x_{5} & -0.03 x_{22} & -0.11 x_{18} & +  1.11 x_{13} & -0.63 x_{10} & +  0.00 x_{31}\\
 x_{24}   &  171.066518301 & +  2.51 x_{29} & + 40.67 x_{15} & -0.75 x_{26} & -6.72 x_{2} & -1.10 x_{32} & +  0.39 x_{30} & -0.19 x_{19} & -36.72 x_{12} & -3.30 x_{17} & -47.22 x_{4} & -98.33 x_{5} & -0.84 x_{22} & -3.75 x_{18} & + 34.17 x_{13} & -31.67 x_{10} & -1.10 x_{31}\\
 x_{25}   &  31.9836228079 & -2.66 x_{29} & -114.08 x_{15} & +  1.32 x_{26} & -32.25 x_{2} & +  2.89 x_{32} & +  0.46 x_{30} & +  1.26 x_{19} & -26.08 x_{12} & +  3.75 x_{17} & + 55.19 x_{4} & + 132.01 x_{5} & -3.75 x_{22} & +  0.49 x_{18} & -63.25 x_{13} & +  0.63 x_{10} & +  7.57 x_{31}\\
 x_{1}   &  8.56714319529 & +  0.06 x_{29} & +  0.37 x_{15} & -0.04 x_{26} & +  0.20 x_{2} & -0.00 x_{32} & +  0.00 x_{30} & -0.02 x_{19} & -1.79 x_{12} & -0.09 x_{17} & -1.80 x_{4} & -3.14 x_{5} & -0.07 x_{22} & -0.14 x_{18} & +  1.35 x_{13} & -1.73 x_{10} & -0.04 x_{31}\\
 x_{6}   &  11.3947389211 & +  0.22 x_{29} & +  3.66 x_{15} & -0.06 x_{26} & +  0.37 x_{2} & -0.14 x_{32} & -0.04 x_{30} & -0.03 x_{19} & -2.40 x_{12} & -0.24 x_{17} & -3.68 x_{4} & -8.84 x_{5} & +  0.00 x_{22} & -0.26 x_{18} & +  4.62 x_{13} & -2.34 x_{10} & -0.24 x_{31}\\
 x_{23}   &  16.7823942905 & -2.03 x_{29} & -116.22 x_{15} & +  2.31 x_{26} & -37.80 x_{2} & +  3.17 x_{32} & +  0.83 x_{30} & -0.34 x_{19} & +  7.21 x_{12} & +  4.11 x_{17} & + 63.65 x_{4} & + 158.32 x_{5} & -3.59 x_{22} & +  2.84 x_{18} & -105.03 x_{13} & + 48.96 x_{10} & +  7.44 x_{31}\\
 x_{20}   &  93.3006289661 & +  1.65 x_{29} & + 15.50 x_{15} & -0.38 x_{26} & -16.50 x_{2} & -0.96 x_{32} & -0.08 x_{30} & +  0.59 x_{19} & -27.99 x_{12} & -1.56 x_{17} & -26.39 x_{4} & -53.36 x_{5} & -0.38 x_{22} & -2.78 x_{18} & + 34.30 x_{13} & -24.03 x_{10} & -0.35 x_{31}\\
 x_{8}   &  3.25089233724 & -0.05 x_{29} & -2.02 x_{15} & +  0.03 x_{26} & -0.26 x_{2} & +  0.01 x_{32} & -0.00 x_{30} & +  0.05 x_{19} & -1.08 x_{12} & +  0.02 x_{17} & +  0.49 x_{4} & +  1.03 x_{5} & -0.06 x_{22} & -0.07 x_{18} & -0.39 x_{13} & -0.57 x_{10} & +  0.11 x_{31}\\
 x_{9}   &  7.81972163542 & -0.05 x_{29} & -6.04 x_{15} & +  0.09 x_{26} & -1.76 x_{2} & +  0.14 x_{32} & +  0.05 x_{30} & +  0.03 x_{19} & -2.73 x_{12} & +  0.14 x_{17} & +  1.56 x_{4} & +  4.90 x_{5} & -0.30 x_{22} & -0.03 x_{18} & -3.47 x_{13} & -0.18 x_{10} & +  0.37 x_{31}\\
 x_{27}   &  87.1055701173 & +  0.29 x_{29} & -25.60 x_{15} & -0.18 x_{26} & -26.87 x_{2} & +  0.99 x_{32} & +  0.45 x_{30} & -0.14 x_{19} & -11.06 x_{12} & +  1.08 x_{17} & -1.07 x_{4} & + 14.31 x_{5} & -1.56 x_{22} & -0.60 x_{18} & -23.95 x_{13} & -5.13 x_{10} & +  1.95 x_{31}\\
 x_{28}   &  164.354246124 & -0.92 x_{29} & -74.51 x_{15} & +  1.34 x_{26} & -10.93 x_{2} & +  1.42 x_{32} & +  0.48 x_{30} & -0.70 x_{19} & -31.36 x_{12} & +  1.93 x_{17} & + 25.19 x_{4} & + 53.75 x_{5} & -3.75 x_{22} & -0.43 x_{18} & -37.79 x_{13} & +  3.15 x_{10} & +  3.73 x_{31}\\
 x_{14}   &  0.411755825969 & -0.07 x_{29} & -3.57 x_{15} & +  0.06 x_{26} & -1.30 x_{2} & +  0.10 x_{32} & +  0.01 x_{30} & +  0.04 x_{19} & -0.42 x_{12} & +  0.08 x_{17} & +  1.98 x_{4} & +  4.70 x_{5} & -0.12 x_{22} & +  0.03 x_{18} & -2.80 x_{13} & +  1.13 x_{10} & +  0.29 x_{31}\\
 x_{21}   &  27.3570400003 & -0.83 x_{29} & -22.72 x_{15} & +  0.12 x_{26} & -7.94 x_{2} & +  1.10 x_{32} & +  0.55 x_{30} & +  0.18 x_{19} & -4.50 x_{12} & +  1.12 x_{17} & +  3.01 x_{4} & + 33.98 x_{5} & -1.49 x_{22} & +  1.18 x_{18} & -26.98 x_{13} & -5.44 x_{10} & +  1.76 x_{31}\\
 x_{16}   &  10.2083113694 & +  0.14 x_{29} & +  2.04 x_{15} & -0.03 x_{26} & +  0.19 x_{2} & -0.14 x_{32} & -0.02 x_{30} & -0.08 x_{19} & -1.47 x_{12} & -0.16 x_{17} & -2.11 x_{4} & -6.03 x_{5} & +  0.00 x_{22} & -0.13 x_{18} & +  1.99 x_{13} & -0.98 x_{10} & -0.19 x_{31}\\
 x_{11}   &  6.49860206988 & +  0.03 x_{29} & -1.97 x_{15} & +  0.01 x_{26} & -1.08 x_{2} & -0.00 x_{32} & -0.03 x_{30} & -0.04 x_{19} & -0.76 x_{12} & +  0.04 x_{17} & +  0.67 x_{4} & -0.24 x_{5} & -0.09 x_{22} & -0.05 x_{18} & -0.50 x_{13} & +  0.04 x_{10} & +  0.08 x_{31}\\
\hline
z    &  56.6147981616 & -0.61 x_{29} & -39.05 x_{15} & +  0.60 x_{26} & -13.46 x_{2} & +  0.88 x_{32} & +  0.24 x_{30} & +  0.20 x_{19} & -16.06 x_{12} & +  1.12 x_{17} & + 13.09 x_{4} & + 29.91 x_{5} & -1.78 x_{22} & -0.34 x_{18} & -20.12 x_{13} & -6.00 x_{10} & +  2.19 x_{31}\\
\end{array}\]


 $ x_{4} $ enters and $ x_{7} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  2.80419613881 & +  0.05 x_{29} & +  0.97 x_{15} & -0.04 x_{26} & -0.21 x_{2} & -0.03 x_{32} & +  0.01 x_{30} & +  0.01 x_{19} & -0.85 x_{12} & -0.05 x_{17} & -0.55 x_{7} & -2.20 x_{5} & +  0.00 x_{22} & -0.08 x_{18} & +  1.03 x_{13} & -0.80 x_{10} & -0.04 x_{31}\\
 x_{3}   &  2.59779595354 & -0.00 x_{29} & -1.04 x_{15} & +  0.06 x_{26} & +  0.33 x_{2} & +  0.06 x_{32} & +  0.01 x_{30} & -0.04 x_{19} & -0.07 x_{12} & +  0.01 x_{17} & +  0.76 x_{7} & +  1.64 x_{5} & -0.03 x_{22} & +  0.00 x_{18} & -0.30 x_{13} & +  0.47 x_{10} & +  0.06 x_{31}\\
 x_{24}   &  38.6495017466 & +  0.08 x_{29} & -5.14 x_{15} & +  1.30 x_{26} & +  3.10 x_{2} & +  0.35 x_{32} & -0.06 x_{30} & -0.73 x_{19} & +  3.23 x_{12} & -0.79 x_{17} & + 26.14 x_{7} & +  5.39 x_{5} & -0.88 x_{22} & +  0.09 x_{18} & -14.45 x_{13} & +  6.00 x_{10} & +  0.86 x_{31}\\
 x_{25}   &  186.755797423 & +  0.18 x_{29} & -60.54 x_{15} & -1.08 x_{26} & -43.73 x_{2} & +  1.19 x_{32} & +  0.99 x_{30} & +  1.89 x_{19} & -72.78 x_{12} & +  0.82 x_{17} & -30.55 x_{7} & + 10.78 x_{5} & -3.70 x_{22} & -4.00 x_{18} & -6.42 x_{13} & -43.40 x_{10} & +  5.27 x_{31}\\
 x_{1}   &  3.52668866833 & -0.03 x_{29} & -1.37 x_{15} & +  0.04 x_{26} & +  0.57 x_{2} & +  0.05 x_{32} & -0.02 x_{30} & -0.04 x_{19} & -0.27 x_{12} & +  0.00 x_{17} & +  1.00 x_{7} & +  0.81 x_{5} & -0.08 x_{22} & +  0.01 x_{18} & -0.50 x_{13} & -0.29 x_{10} & +  0.04 x_{31}\\
 x_{6}   &  1.07475637861 & +  0.03 x_{29} & +  0.09 x_{15} & +  0.10 x_{26} & +  1.14 x_{2} & -0.02 x_{32} & -0.07 x_{30} & -0.08 x_{19} & +  0.71 x_{12} & -0.05 x_{17} & +  2.04 x_{7} & -0.76 x_{5} & -0.00 x_{22} & +  0.04 x_{18} & +  0.83 x_{13} & +  0.59 x_{10} & -0.09 x_{31}\\
 x_{23}   &  195.272500509 & +  1.23 x_{29} & -54.47 x_{15} & -0.45 x_{26} & -51.03 x_{2} & +  1.21 x_{32} & +  1.44 x_{30} & +  0.39 x_{19} & -46.65 x_{12} & +  0.73 x_{17} & -35.23 x_{7} & + 18.51 x_{5} & -3.54 x_{22} & -2.33 x_{18} & -39.50 x_{13} & -1.82 x_{10} & +  4.79 x_{31}\\
 x_{20}   &  19.3052126615 & +  0.30 x_{29} & -10.10 x_{15} & +  0.77 x_{26} & -11.02 x_{2} & -0.15 x_{32} & -0.34 x_{30} & +  0.29 x_{19} & -5.66 x_{12} & -0.16 x_{17} & + 14.61 x_{7} & +  4.60 x_{5} & -0.40 x_{22} & -0.63 x_{18} & +  7.13 x_{13} & -2.98 x_{10} & +  0.75 x_{31}\\
 x_{8}   &  4.62117613708 & -0.03 x_{29} & -1.54 x_{15} & +  0.01 x_{26} & -0.36 x_{2} & -0.00 x_{32} & +  0.00 x_{30} & +  0.06 x_{19} & -1.49 x_{12} & -0.01 x_{17} & -0.27 x_{7} & -0.04 x_{5} & -0.06 x_{22} & -0.11 x_{18} & +  0.11 x_{13} & -0.96 x_{10} & +  0.09 x_{31}\\
 x_{9}   &  12.206270338 & +  0.03 x_{29} & -4.52 x_{15} & +  0.03 x_{26} & -2.09 x_{2} & +  0.09 x_{32} & +  0.07 x_{30} & +  0.04 x_{19} & -4.05 x_{12} & +  0.06 x_{17} & -0.87 x_{7} & +  1.47 x_{5} & -0.30 x_{22} & -0.16 x_{18} & -1.86 x_{13} & -1.42 x_{10} & +  0.31 x_{31}\\
 x_{27}   &  84.1141073261 & +  0.24 x_{29} & -26.64 x_{15} & -0.14 x_{26} & -26.65 x_{2} & +  1.03 x_{32} & +  0.44 x_{30} & -0.15 x_{19} & -10.16 x_{12} & +  1.14 x_{17} & +  0.59 x_{7} & + 16.65 x_{5} & -1.57 x_{22} & -0.51 x_{18} & -25.05 x_{13} & -4.28 x_{10} & +  1.99 x_{31}\\
 x_{28}   &  234.978319917 & +  0.37 x_{29} & -50.08 x_{15} & +  0.25 x_{26} & -16.16 x_{2} & +  0.64 x_{32} & +  0.72 x_{30} & -0.41 x_{19} & -52.67 x_{12} & +  0.59 x_{17} & -13.94 x_{7} & -1.57 x_{5} & -3.73 x_{22} & -2.47 x_{18} & -11.86 x_{13} & -16.94 x_{10} & +  2.68 x_{31}\\
 x_{14}   &  5.95456392715 & +  0.03 x_{29} & -1.65 x_{15} & -0.03 x_{26} & -1.71 x_{2} & +  0.04 x_{32} & +  0.03 x_{30} & +  0.06 x_{19} & -2.10 x_{12} & -0.03 x_{17} & -1.09 x_{7} & +  0.36 x_{5} & -0.11 x_{22} & -0.13 x_{18} & -0.76 x_{13} & -0.45 x_{10} & +  0.21 x_{31}\\
 x_{21}   &  35.7869296181 & -0.68 x_{29} & -19.80 x_{15} & -0.01 x_{26} & -8.57 x_{2} & +  1.01 x_{32} & +  0.58 x_{30} & +  0.21 x_{19} & -7.04 x_{12} & +  0.96 x_{17} & -1.66 x_{7} & + 27.38 x_{5} & -1.49 x_{22} & +  0.94 x_{18} & -23.89 x_{13} & -7.84 x_{10} & +  1.64 x_{31}\\
 x_{16}   &  4.29877443749 & +  0.03 x_{29} & -0.00 x_{15} & +  0.06 x_{26} & +  0.63 x_{2} & -0.07 x_{32} & -0.04 x_{30} & -0.11 x_{19} & +  0.32 x_{12} & -0.05 x_{17} & +  1.17 x_{7} & -1.40 x_{5} & +  0.00 x_{22} & +  0.04 x_{18} & -0.18 x_{13} & +  0.70 x_{10} & -0.10 x_{31}\\
 x_{11}   &  8.37290783617 & +  0.07 x_{29} & -1.32 x_{15} & -0.02 x_{26} & -1.22 x_{2} & -0.02 x_{32} & -0.02 x_{30} & -0.03 x_{19} & -1.32 x_{12} & +  0.00 x_{17} & -0.37 x_{7} & -1.71 x_{5} & -0.09 x_{22} & -0.11 x_{18} & +  0.19 x_{13} & -0.50 x_{10} & +  0.06 x_{31}\\
\hline
z    &  93.3200858337 & +  0.07 x_{29} & -26.36 x_{15} & +  0.04 x_{26} & -16.18 x_{2} & +  0.47 x_{32} & +  0.36 x_{30} & +  0.35 x_{19} & -27.14 x_{12} & +  0.43 x_{17} & -7.25 x_{7} & +  1.16 x_{5} & -1.77 x_{22} & -1.41 x_{18} & -6.64 x_{13} & -16.44 x_{10} & +  1.65 x_{31}\\
\end{array}\]


 $ x_{5} $ enters and $ x_{4} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  1.27664526577 & +  0.02 x_{29} & +  0.44 x_{15} & -0.02 x_{26} & -0.09 x_{2} & -0.01 x_{32} & +  0.00 x_{30} & +  0.01 x_{19} & -0.39 x_{12} & -0.02 x_{17} & -0.25 x_{7} & -0.46 x_{4} & +  0.00 x_{22} & -0.04 x_{18} & +  0.47 x_{13} & -0.36 x_{10} & -0.02 x_{31}\\
 x_{3}   &  4.69133317503 & +  0.03 x_{29} & -0.31 x_{15} & +  0.03 x_{26} & +  0.17 x_{2} & +  0.04 x_{32} & +  0.02 x_{30} & -0.03 x_{19} & -0.70 x_{12} & -0.03 x_{17} & +  0.35 x_{7} & -0.75 x_{4} & -0.03 x_{22} & -0.06 x_{18} & +  0.47 x_{13} & -0.12 x_{10} & +  0.03 x_{31}\\
 x_{24}   &  45.5324670157 & +  0.21 x_{29} & -2.76 x_{15} & +  1.19 x_{26} & +  2.59 x_{2} & +  0.28 x_{32} & -0.03 x_{30} & -0.70 x_{19} & +  1.16 x_{12} & -0.92 x_{17} & + 24.78 x_{7} & -2.45 x_{4} & -0.88 x_{22} & -0.11 x_{18} & -11.92 x_{13} & +  4.04 x_{10} & +  0.76 x_{31}\\
 x_{25}   &  200.518605833 & +  0.43 x_{29} & -55.78 x_{15} & -1.29 x_{26} & -44.75 x_{2} & +  1.04 x_{32} & +  1.04 x_{30} & +  1.95 x_{19} & -76.93 x_{12} & +  0.56 x_{17} & -33.27 x_{7} & -4.91 x_{4} & -3.70 x_{22} & -4.40 x_{18} & -1.37 x_{13} & -47.31 x_{10} & +  5.07 x_{31}\\
 x_{1}   &  4.56417493071 & -0.01 x_{29} & -1.01 x_{15} & +  0.02 x_{26} & +  0.49 x_{2} & +  0.04 x_{32} & -0.01 x_{30} & -0.04 x_{19} & -0.59 x_{12} & -0.01 x_{17} & +  0.79 x_{7} & -0.37 x_{4} & -0.08 x_{22} & -0.02 x_{18} & -0.12 x_{13} & -0.59 x_{10} & +  0.02 x_{31}\\
 x_{6}   &  0.107685680292 & +  0.01 x_{29} & -0.24 x_{15} & +  0.11 x_{26} & +  1.21 x_{2} & -0.01 x_{32} & -0.07 x_{30} & -0.08 x_{19} & +  1.00 x_{12} & -0.03 x_{17} & +  2.23 x_{7} & +  0.34 x_{4} & -0.00 x_{22} & +  0.07 x_{18} & +  0.48 x_{13} & +  0.87 x_{10} & -0.07 x_{31}\\
 x_{23}   &  218.899555902 & +  1.67 x_{29} & -46.30 x_{15} & -0.82 x_{26} & -52.79 x_{2} & +  0.95 x_{32} & +  1.52 x_{30} & +  0.49 x_{19} & -53.78 x_{12} & +  0.28 x_{17} & -39.90 x_{7} & -8.43 x_{4} & -3.53 x_{22} & -3.02 x_{18} & -30.82 x_{13} & -8.54 x_{10} & +  4.44 x_{31}\\
 x_{20}   &  25.1832605787 & +  0.40 x_{29} & -8.07 x_{15} & +  0.67 x_{26} & -11.45 x_{2} & -0.21 x_{32} & -0.32 x_{30} & +  0.31 x_{19} & -7.44 x_{12} & -0.27 x_{17} & + 13.45 x_{7} & -2.10 x_{4} & -0.40 x_{22} & -0.80 x_{18} & +  9.29 x_{13} & -4.65 x_{10} & +  0.66 x_{31}\\
 x_{8}   &  4.56717958825 & -0.03 x_{29} & -1.56 x_{15} & +  0.01 x_{26} & -0.36 x_{2} & +  0.00 x_{32} & +  0.00 x_{30} & +  0.06 x_{19} & -1.47 x_{12} & -0.01 x_{17} & -0.26 x_{7} & +  0.02 x_{4} & -0.06 x_{22} & -0.11 x_{18} & +  0.09 x_{13} & -0.95 x_{10} & +  0.09 x_{31}\\
 x_{9}   &  14.0783299362 & +  0.07 x_{29} & -3.88 x_{15} & -0.00 x_{26} & -2.23 x_{2} & +  0.07 x_{32} & +  0.08 x_{30} & +  0.05 x_{19} & -4.62 x_{12} & +  0.02 x_{17} & -1.24 x_{7} & -0.67 x_{4} & -0.30 x_{22} & -0.21 x_{18} & -1.17 x_{13} & -1.96 x_{10} & +  0.28 x_{31}\\
 x_{27}   &  105.374872186 & +  0.63 x_{29} & -19.28 x_{15} & -0.47 x_{26} & -28.23 x_{2} & +  0.79 x_{32} & +  0.52 x_{30} & -0.07 x_{19} & -16.58 x_{12} & +  0.74 x_{17} & -3.61 x_{7} & -7.58 x_{4} & -1.56 x_{22} & -1.13 x_{18} & -17.24 x_{13} & -10.32 x_{10} & +  1.68 x_{31}\\
 x_{28}   &  232.975269857 & +  0.34 x_{29} & -50.77 x_{15} & +  0.28 x_{26} & -16.02 x_{2} & +  0.66 x_{32} & +  0.71 x_{30} & -0.42 x_{19} & -52.06 x_{12} & +  0.63 x_{17} & -13.55 x_{7} & +  0.71 x_{4} & -3.73 x_{22} & -2.42 x_{18} & -12.59 x_{13} & -16.37 x_{10} & +  2.71 x_{31}\\
 x_{14}   &  6.41514214276 & +  0.04 x_{29} & -1.49 x_{15} & -0.03 x_{26} & -1.74 x_{2} & +  0.03 x_{32} & +  0.03 x_{30} & +  0.06 x_{19} & -2.24 x_{12} & -0.03 x_{17} & -1.19 x_{7} & -0.16 x_{4} & -0.11 x_{22} & -0.14 x_{18} & -0.59 x_{13} & -0.58 x_{10} & +  0.21 x_{31}\\
 x_{21}   &  70.7399867919 & -0.04 x_{29} & -7.71 x_{15} & -0.55 x_{26} & -11.16 x_{2} & +  0.62 x_{32} & +  0.70 x_{30} & +  0.35 x_{19} & -17.59 x_{12} & +  0.30 x_{17} & -8.56 x_{7} & -12.46 x_{4} & -1.48 x_{22} & -0.08 x_{18} & -11.05 x_{13} & -17.78 x_{10} & +  1.12 x_{31}\\
 x_{16}   &  2.50894493914 & -0.01 x_{29} & -0.62 x_{15} & +  0.09 x_{26} & +  0.76 x_{2} & -0.05 x_{32} & -0.04 x_{30} & -0.11 x_{19} & +  0.86 x_{12} & -0.02 x_{17} & +  1.52 x_{7} & +  0.64 x_{4} & +  0.00 x_{22} & +  0.09 x_{18} & -0.83 x_{13} & +  1.21 x_{10} & -0.07 x_{31}\\
 x_{11}   &  6.18651907106 & +  0.03 x_{29} & -2.07 x_{15} & +  0.02 x_{26} & -1.05 x_{2} & +  0.00 x_{32} & -0.03 x_{30} & -0.04 x_{19} & -0.66 x_{12} & +  0.04 x_{17} & +  0.06 x_{7} & +  0.78 x_{4} & -0.09 x_{22} & -0.04 x_{18} & -0.61 x_{13} & +  0.13 x_{10} & +  0.09 x_{31}\\
\hline
z    &  94.795770714 & +  0.09 x_{29} & -25.84 x_{15} & +  0.01 x_{26} & -16.29 x_{2} & +  0.46 x_{32} & +  0.37 x_{30} & +  0.35 x_{19} & -27.58 x_{12} & +  0.40 x_{17} & -7.54 x_{7} & -0.53 x_{4} & -1.77 x_{22} & -1.45 x_{18} & -6.10 x_{13} & -16.86 x_{10} & +  1.63 x_{31}\\
\end{array}\]


 $ x_{17} $ enters and $ x_{6} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  1.18579313227 & +  0.01 x_{29} & +  0.65 x_{15} & -0.11 x_{26} & -1.12 x_{2} & -0.00 x_{32} & +  0.07 x_{30} & +  0.07 x_{19} & -1.23 x_{12} & +  0.84 x_{6} & -2.13 x_{7} & -0.75 x_{4} & +  0.00 x_{22} & -0.09 x_{18} & +  0.07 x_{13} & -1.10 x_{10} & +  0.04 x_{31}\\
 x_{3}   &  4.58963528688 & +  0.02 x_{29} & -0.08 x_{15} & -0.08 x_{26} & -0.97 x_{2} & +  0.05 x_{32} & +  0.09 x_{30} & +  0.04 x_{19} & -1.65 x_{12} & +  0.94 x_{6} & -1.76 x_{7} & -1.07 x_{4} & -0.03 x_{22} & -0.12 x_{18} & +  0.02 x_{13} & -0.94 x_{10} & +  0.10 x_{31}\\
 x_{24}   &  42.0615804212 & -0.23 x_{29} & +  5.12 x_{15} & -2.44 x_{26} & -36.48 x_{2} & +  0.72 x_{32} & +  2.36 x_{30} & +  1.90 x_{19} & -31.10 x_{12} & + 32.23 x_{6} & -47.03 x_{7} & -13.57 x_{4} & -0.82 x_{22} & -2.28 x_{18} & -27.34 x_{13} & -23.93 x_{10} & +  3.07 x_{31}\\
 x_{25}   &  202.626846146 & +  0.70 x_{29} & -60.56 x_{15} & +  0.92 x_{26} & -21.02 x_{2} & +  0.77 x_{32} & -0.42 x_{30} & +  0.37 x_{19} & -57.34 x_{12} & -19.58 x_{6} & + 10.35 x_{7} & +  1.84 x_{4} & -3.74 x_{22} & -3.08 x_{18} & +  8.00 x_{13} & -30.32 x_{10} & +  3.66 x_{31}\\
 x_{1}   &  4.50862675809 & -0.02 x_{29} & -0.89 x_{15} & -0.04 x_{26} & -0.13 x_{2} & +  0.05 x_{32} & +  0.02 x_{30} & +  0.00 x_{19} & -1.10 x_{12} & +  0.52 x_{6} & -0.36 x_{7} & -0.55 x_{4} & -0.07 x_{22} & -0.06 x_{18} & -0.37 x_{13} & -1.04 x_{10} & +  0.06 x_{31}\\
 x_{17}   &  3.75586345639 & +  0.48 x_{29} & -8.53 x_{15} & +  3.94 x_{26} & + 42.27 x_{2} & -0.48 x_{32} & -2.59 x_{30} & -2.82 x_{19} & + 34.91 x_{12} & -34.88 x_{6} & + 77.71 x_{7} & + 12.03 x_{4} & -0.06 x_{22} & +  2.35 x_{18} & + 16.68 x_{13} & + 30.27 x_{10} & -2.50 x_{31}\\
 x_{23}   &  219.964621781 & +  1.80 x_{29} & -48.72 x_{15} & +  0.30 x_{26} & -40.80 x_{2} & +  0.81 x_{32} & +  0.78 x_{30} & -0.31 x_{19} & -43.88 x_{12} & -9.89 x_{6} & -17.86 x_{7} & -5.01 x_{4} & -3.55 x_{22} & -2.35 x_{18} & -26.09 x_{13} & +  0.05 x_{10} & +  3.73 x_{31}\\
 x_{20}   &  24.1703096102 & +  0.27 x_{29} & -5.77 x_{15} & -0.39 x_{26} & -22.85 x_{2} & -0.08 x_{32} & +  0.38 x_{30} & +  1.07 x_{19} & -16.85 x_{12} & +  9.41 x_{6} & -7.51 x_{7} & -5.34 x_{4} & -0.39 x_{22} & -1.44 x_{18} & +  4.79 x_{13} & -12.82 x_{10} & +  1.33 x_{31}\\
 x_{8}   &  4.54538942391 & -0.03 x_{29} & -1.51 x_{15} & -0.01 x_{26} & -0.60 x_{2} & +  0.00 x_{32} & +  0.02 x_{30} & +  0.07 x_{19} & -1.68 x_{12} & +  0.20 x_{6} & -0.71 x_{7} & -0.05 x_{4} & -0.06 x_{22} & -0.12 x_{18} & -0.00 x_{13} & -1.12 x_{10} & +  0.11 x_{31}\\
 x_{9}   &  14.1593199831 & +  0.08 x_{29} & -4.06 x_{15} & +  0.08 x_{26} & -1.32 x_{2} & +  0.06 x_{32} & +  0.02 x_{30} & -0.01 x_{19} & -3.86 x_{12} & -0.75 x_{6} & +  0.44 x_{7} & -0.41 x_{4} & -0.30 x_{22} & -0.16 x_{18} & -0.81 x_{13} & -1.30 x_{10} & +  0.22 x_{31}\\
 x_{27}   &  108.14162375 & +  0.98 x_{29} & -25.57 x_{15} & +  2.43 x_{26} & +  2.91 x_{2} & +  0.44 x_{32} & -1.39 x_{30} & -2.14 x_{19} & +  9.14 x_{12} & -25.69 x_{6} & + 53.64 x_{7} & +  1.28 x_{4} & -1.61 x_{22} & +  0.60 x_{18} & -4.95 x_{13} & + 11.97 x_{10} & -0.17 x_{31}\\
 x_{28}   &  235.342495807 & +  0.64 x_{29} & -56.14 x_{15} & +  2.76 x_{26} & + 10.63 x_{2} & +  0.36 x_{32} & -0.92 x_{30} & -2.19 x_{19} & -30.06 x_{12} & -21.98 x_{6} & + 35.43 x_{7} & +  8.30 x_{4} & -3.77 x_{22} & -0.94 x_{18} & -2.08 x_{13} & +  2.71 x_{10} & +  1.14 x_{31}\\
 x_{14}   &  6.28516542112 & +  0.03 x_{29} & -1.20 x_{15} & -0.17 x_{26} & -3.20 x_{2} & +  0.05 x_{32} & +  0.12 x_{30} & +  0.16 x_{19} & -3.44 x_{12} & +  1.21 x_{6} & -3.87 x_{7} & -0.58 x_{4} & -0.11 x_{22} & -0.22 x_{18} & -1.17 x_{13} & -1.63 x_{10} & +  0.29 x_{31}\\
 x_{21}   &  71.8706959876 & +  0.11 x_{29} & -10.28 x_{15} & +  0.63 x_{26} & +  1.57 x_{2} & +  0.48 x_{32} & -0.08 x_{30} & -0.49 x_{19} & -7.08 x_{12} & -10.50 x_{6} & + 14.83 x_{7} & -8.84 x_{4} & -1.50 x_{22} & +  0.63 x_{18} & -6.03 x_{13} & -8.67 x_{10} & +  0.37 x_{31}\\
 x_{16}   &  2.44543881877 & -0.01 x_{29} & -0.48 x_{15} & +  0.02 x_{26} & +  0.05 x_{2} & -0.04 x_{32} & +  0.00 x_{30} & -0.07 x_{19} & +  0.27 x_{12} & +  0.59 x_{6} & +  0.21 x_{7} & +  0.43 x_{4} & +  0.00 x_{22} & +  0.05 x_{18} & -1.12 x_{13} & +  0.70 x_{10} & -0.03 x_{31}\\
 x_{11}   &  6.34562954991 & +  0.05 x_{29} & -2.44 x_{15} & +  0.19 x_{26} & +  0.74 x_{2} & -0.02 x_{32} & -0.14 x_{30} & -0.16 x_{19} & +  0.82 x_{12} & -1.48 x_{6} & +  3.35 x_{7} & +  1.29 x_{4} & -0.09 x_{22} & +  0.05 x_{18} & +  0.09 x_{13} & +  1.41 x_{10} & -0.02 x_{31}\\
\hline
z    &  96.2906462487 & +  0.28 x_{29} & -29.24 x_{15} & +  1.58 x_{26} & +  0.54 x_{2} & +  0.27 x_{32} & -0.66 x_{30} & -0.77 x_{19} & -13.69 x_{12} & -13.88 x_{6} & + 23.39 x_{7} & +  4.26 x_{4} & -1.80 x_{22} & -0.52 x_{18} & +  0.54 x_{13} & -4.82 x_{10} & +  0.63 x_{31}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{20} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  0.00411405979932 & -0.00 x_{29} & +  0.93 x_{15} & -0.10 x_{26} & +  0.05 x_{20} & +  0.00 x_{32} & +  0.05 x_{30} & +  0.02 x_{19} & -0.41 x_{12} & +  0.38 x_{6} & -1.76 x_{7} & -0.49 x_{4} & +  0.02 x_{22} & -0.02 x_{18} & -0.17 x_{13} & -0.47 x_{10} & -0.02 x_{31}\\
 x_{3}   &  3.55851215716 & +  0.01 x_{29} & +  0.16 x_{15} & -0.06 x_{26} & +  0.04 x_{20} & +  0.05 x_{32} & +  0.07 x_{30} & -0.00 x_{19} & -0.93 x_{12} & +  0.54 x_{6} & -1.44 x_{7} & -0.84 x_{4} & -0.02 x_{22} & -0.06 x_{18} & -0.19 x_{13} & -0.40 x_{10} & +  0.04 x_{31}\\
 x_{24}   &  3.48125087273 & -0.67 x_{29} & + 14.33 x_{15} & -1.83 x_{26} & +  1.60 x_{20} & +  0.85 x_{32} & +  1.75 x_{30} & +  0.19 x_{19} & -4.20 x_{12} & + 17.22 x_{6} & -35.04 x_{7} & -5.05 x_{4} & -0.21 x_{22} & +  0.01 x_{18} & -34.99 x_{13} & -3.48 x_{10} & +  0.95 x_{31}\\
 x_{25}   &  180.396820549 & +  0.45 x_{29} & -55.26 x_{15} & +  1.28 x_{26} & +  0.92 x_{20} & +  0.85 x_{32} & -0.77 x_{30} & -0.61 x_{19} & -41.84 x_{12} & -28.23 x_{6} & + 17.26 x_{7} & +  6.76 x_{4} & -3.38 x_{22} & -1.76 x_{18} & +  3.59 x_{13} & -18.53 x_{10} & +  2.44 x_{31}\\
 x_{1}   &  4.36764867823 & -0.02 x_{29} & -0.85 x_{15} & -0.04 x_{26} & +  0.01 x_{20} & +  0.05 x_{32} & +  0.02 x_{30} & -0.00 x_{19} & -1.00 x_{12} & +  0.46 x_{6} & -0.32 x_{7} & -0.52 x_{4} & -0.07 x_{22} & -0.05 x_{18} & -0.39 x_{13} & -0.96 x_{10} & +  0.05 x_{31}\\
 x_{17}   &  48.4668519866 & +  0.99 x_{29} & -19.20 x_{15} & +  3.22 x_{26} & -1.85 x_{20} & -0.63 x_{32} & -1.88 x_{30} & -0.84 x_{19} & +  3.74 x_{12} & -17.48 x_{6} & + 63.82 x_{7} & +  2.15 x_{4} & -0.78 x_{22} & -0.31 x_{18} & + 25.55 x_{13} & +  6.56 x_{10} & -0.04 x_{31}\\
 x_{23}   &  176.812429807 & +  1.31 x_{29} & -38.42 x_{15} & +  0.99 x_{26} & +  1.79 x_{20} & +  0.96 x_{32} & +  0.10 x_{30} & -2.22 x_{19} & -13.80 x_{12} & -26.68 x_{6} & -4.45 x_{7} & +  4.52 x_{4} & -2.86 x_{22} & +  0.22 x_{18} & -34.65 x_{13} & + 22.93 x_{10} & +  1.35 x_{31}\\
 x_{2}   &  1.05767764612 & +  0.01 x_{29} & -0.25 x_{15} & -0.02 x_{26} & -0.04 x_{20} & -0.00 x_{32} & +  0.02 x_{30} & +  0.05 x_{19} & -0.74 x_{12} & +  0.41 x_{6} & -0.33 x_{7} & -0.23 x_{4} & -0.02 x_{22} & -0.06 x_{18} & +  0.21 x_{13} & -0.56 x_{10} & +  0.06 x_{31}\\
 x_{8}   &  3.90659437309 & -0.04 x_{29} & -1.36 x_{15} & -0.00 x_{26} & +  0.03 x_{20} & +  0.01 x_{32} & +  0.01 x_{30} & +  0.05 x_{19} & -1.23 x_{12} & -0.05 x_{6} & -0.51 x_{7} & +  0.09 x_{4} & -0.05 x_{22} & -0.08 x_{18} & -0.13 x_{13} & -0.78 x_{10} & +  0.07 x_{31}\\
 x_{9}   &  12.7679026769 & +  0.06 x_{29} & -3.73 x_{15} & +  0.10 x_{26} & +  0.06 x_{20} & +  0.06 x_{32} & -0.00 x_{30} & -0.07 x_{19} & -2.89 x_{12} & -1.29 x_{6} & +  0.87 x_{7} & -0.10 x_{4} & -0.28 x_{22} & -0.08 x_{18} & -1.09 x_{13} & -0.57 x_{10} & +  0.15 x_{31}\\
 x_{27}   &  111.222118246 & +  1.01 x_{29} & -26.30 x_{15} & +  2.38 x_{26} & -0.13 x_{20} & +  0.43 x_{32} & -1.35 x_{30} & -2.00 x_{19} & +  6.99 x_{12} & -24.49 x_{6} & + 52.68 x_{7} & +  0.60 x_{4} & -1.66 x_{22} & +  0.42 x_{18} & -4.34 x_{13} & + 10.34 x_{10} & +  0.00 x_{31}\\
 x_{28}   &  246.582708488 & +  0.77 x_{29} & -58.83 x_{15} & +  2.58 x_{26} & -0.47 x_{20} & +  0.32 x_{32} & -0.75 x_{30} & -1.69 x_{19} & -37.90 x_{12} & -17.61 x_{6} & + 31.94 x_{7} & +  5.81 x_{4} & -3.95 x_{22} & -1.61 x_{18} & +  0.15 x_{13} & -3.25 x_{10} & +  1.76 x_{31}\\
 x_{14}   &  2.89643611176 & -0.01 x_{29} & -0.39 x_{15} & -0.12 x_{26} & +  0.14 x_{20} & +  0.06 x_{32} & +  0.07 x_{30} & +  0.01 x_{19} & -1.08 x_{12} & -0.11 x_{6} & -2.82 x_{7} & +  0.17 x_{4} & -0.06 x_{22} & -0.02 x_{18} & -1.84 x_{13} & +  0.17 x_{10} & +  0.11 x_{31}\\
 x_{21}   &  73.5282127025 & +  0.13 x_{29} & -10.67 x_{15} & +  0.60 x_{26} & -0.07 x_{20} & +  0.47 x_{32} & -0.05 x_{30} & -0.42 x_{19} & -8.24 x_{12} & -9.86 x_{6} & + 14.32 x_{7} & -9.21 x_{4} & -1.52 x_{22} & +  0.53 x_{18} & -5.70 x_{13} & -9.55 x_{10} & +  0.46 x_{31}\\
 x_{16}   &  2.49517080123 & -0.01 x_{29} & -0.49 x_{15} & +  0.02 x_{26} & -0.00 x_{20} & -0.04 x_{32} & +  0.00 x_{30} & -0.06 x_{19} & +  0.23 x_{12} & +  0.61 x_{6} & +  0.19 x_{7} & +  0.42 x_{4} & +  0.00 x_{22} & +  0.05 x_{18} & -1.11 x_{13} & +  0.67 x_{10} & -0.03 x_{31}\\
 x_{11}   &  7.12606404406 & +  0.06 x_{29} & -2.62 x_{15} & +  0.17 x_{26} & -0.03 x_{20} & -0.02 x_{32} & -0.13 x_{30} & -0.12 x_{19} & +  0.27 x_{12} & -1.17 x_{6} & +  3.11 x_{7} & +  1.12 x_{4} & -0.10 x_{22} & +  0.01 x_{18} & +  0.25 x_{13} & +  0.99 x_{10} & +  0.03 x_{31}\\
\hline
z    &  96.857818776 & +  0.29 x_{29} & -29.37 x_{15} & +  1.57 x_{26} & -0.02 x_{20} & +  0.26 x_{32} & -0.65 x_{30} & -0.74 x_{19} & -14.09 x_{12} & -13.66 x_{6} & + 23.22 x_{7} & +  4.14 x_{4} & -1.81 x_{22} & -0.55 x_{18} & +  0.65 x_{13} & -5.12 x_{10} & +  0.66 x_{31}\\
\end{array}\]


 $ x_{4} $ enters and $ x_{5} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  0.00848015669228 & -0.00 x_{29} & +  1.92 x_{15} & -0.20 x_{26} & +  0.10 x_{20} & +  0.00 x_{32} & +  0.10 x_{30} & +  0.04 x_{19} & -0.84 x_{12} & +  0.79 x_{6} & -3.64 x_{7} & -2.06 x_{5} & +  0.04 x_{22} & -0.05 x_{18} & -0.35 x_{13} & -0.97 x_{10} & -0.05 x_{31}\\
 x_{3}   &  3.55135110965 & +  0.01 x_{29} & -1.46 x_{15} & +  0.10 x_{26} & -0.04 x_{20} & +  0.05 x_{32} & -0.01 x_{30} & -0.04 x_{19} & -0.22 x_{12} & -0.12 x_{6} & +  1.64 x_{7} & +  1.74 x_{5} & -0.05 x_{22} & -0.02 x_{18} & +  0.11 x_{13} & +  0.42 x_{10} & +  0.08 x_{31}\\
 x_{24}   &  3.43845814404 & -0.65 x_{29} & +  4.65 x_{15} & -0.83 x_{26} & +  1.09 x_{20} & +  0.83 x_{32} & +  1.25 x_{30} & -0.02 x_{19} & +  0.02 x_{12} & + 13.22 x_{6} & -16.69 x_{7} & + 10.40 x_{5} & -0.42 x_{22} & +  0.26 x_{18} & -33.23 x_{13} & +  1.40 x_{10} & +  1.19 x_{31}\\
 x_{25}   &  180.454105892 & +  0.42 x_{29} & -42.31 x_{15} & -0.06 x_{26} & +  1.60 x_{20} & +  0.87 x_{32} & -0.10 x_{30} & -0.32 x_{19} & -47.49 x_{12} & -22.89 x_{6} & -7.31 x_{7} & -13.92 x_{5} & -3.09 x_{22} & -2.08 x_{18} & +  1.23 x_{13} & -25.06 x_{10} & +  2.11 x_{31}\\
 x_{1}   &  4.36326678637 & -0.02 x_{29} & -1.84 x_{15} & +  0.07 x_{26} & -0.05 x_{20} & +  0.05 x_{32} & -0.03 x_{30} & -0.03 x_{19} & -0.57 x_{12} & +  0.05 x_{6} & +  1.56 x_{7} & +  1.07 x_{5} & -0.09 x_{22} & -0.02 x_{18} & -0.21 x_{13} & -0.46 x_{10} & +  0.07 x_{31}\\
 x_{17}   &  48.4850829649 & +  0.98 x_{29} & -15.07 x_{15} & +  2.79 x_{26} & -1.63 x_{20} & -0.62 x_{32} & -1.67 x_{30} & -0.74 x_{19} & +  1.94 x_{12} & -15.78 x_{6} & + 56.00 x_{7} & -4.43 x_{5} & -0.69 x_{22} & -0.42 x_{18} & + 24.80 x_{13} & +  4.49 x_{10} & -0.14 x_{31}\\
 x_{23}   &  176.850753994 & +  1.30 x_{29} & -29.76 x_{15} & +  0.10 x_{26} & +  2.24 x_{20} & +  0.97 x_{32} & +  0.55 x_{30} & -2.03 x_{19} & -17.58 x_{12} & -23.11 x_{6} & -20.89 x_{7} & -9.32 x_{5} & -2.67 x_{22} & -0.00 x_{18} & -36.22 x_{13} & + 18.56 x_{10} & +  1.14 x_{31}\\
 x_{2}   &  1.05569598654 & +  0.01 x_{29} & -0.70 x_{15} & +  0.03 x_{26} & -0.07 x_{20} & -0.00 x_{32} & -0.01 x_{30} & +  0.04 x_{19} & -0.54 x_{12} & +  0.23 x_{6} & +  0.52 x_{7} & +  0.48 x_{5} & -0.03 x_{22} & -0.05 x_{18} & +  0.29 x_{13} & -0.33 x_{10} & +  0.07 x_{31}\\
 x_{8}   &  3.90736273251 & -0.04 x_{29} & -1.18 x_{15} & -0.02 x_{26} & +  0.04 x_{20} & +  0.01 x_{32} & +  0.02 x_{30} & +  0.05 x_{19} & -1.31 x_{12} & +  0.03 x_{6} & -0.84 x_{7} & -0.19 x_{5} & -0.05 x_{22} & -0.09 x_{18} & -0.16 x_{13} & -0.87 x_{10} & +  0.07 x_{31}\\
 x_{9}   &  12.76704786 & +  0.06 x_{29} & -3.92 x_{15} & +  0.12 x_{26} & +  0.05 x_{20} & +  0.06 x_{32} & -0.01 x_{30} & -0.08 x_{19} & -2.81 x_{12} & -1.37 x_{6} & +  1.24 x_{7} & +  0.21 x_{5} & -0.28 x_{22} & -0.07 x_{18} & -1.05 x_{13} & -0.47 x_{10} & +  0.15 x_{31}\\
 x_{27}   &  111.227191154 & +  1.01 x_{29} & -25.15 x_{15} & +  2.27 x_{26} & -0.07 x_{20} & +  0.43 x_{32} & -1.29 x_{30} & -1.98 x_{19} & +  6.49 x_{12} & -24.02 x_{6} & + 50.51 x_{7} & -1.23 x_{5} & -1.63 x_{22} & +  0.39 x_{18} & -4.55 x_{13} & +  9.76 x_{10} & -0.03 x_{31}\\
 x_{28}   &  246.631995118 & +  0.75 x_{29} & -47.69 x_{15} & +  1.43 x_{26} & +  0.12 x_{20} & +  0.34 x_{32} & -0.17 x_{30} & -1.44 x_{19} & -42.76 x_{12} & -13.01 x_{6} & + 10.80 x_{7} & -11.98 x_{5} & -3.70 x_{22} & -1.89 x_{18} & -1.88 x_{13} & -8.87 x_{10} & +  1.47 x_{31}\\
 x_{14}   &  2.89786249433 & -0.01 x_{29} & -0.07 x_{15} & -0.15 x_{26} & +  0.16 x_{20} & +  0.06 x_{32} & +  0.09 x_{30} & +  0.01 x_{19} & -1.22 x_{12} & +  0.02 x_{6} & -3.43 x_{7} & -0.35 x_{5} & -0.05 x_{22} & -0.03 x_{18} & -1.90 x_{13} & +  0.01 x_{10} & +  0.10 x_{31}\\
 x_{21}   &  73.4501134645 & +  0.16 x_{29} & -28.32 x_{15} & +  2.43 x_{26} & -1.00 x_{20} & +  0.45 x_{32} & -0.97 x_{30} & -0.82 x_{19} & -0.54 x_{12} & -17.14 x_{6} & + 47.81 x_{7} & + 18.98 x_{5} & -1.92 x_{22} & +  0.98 x_{18} & -2.49 x_{13} & -0.65 x_{10} & +  0.90 x_{31}\\
 x_{16}   &  2.49876554764 & -0.01 x_{29} & +  0.32 x_{15} & -0.06 x_{26} & +  0.04 x_{20} & -0.04 x_{32} & +  0.04 x_{30} & -0.05 x_{19} & -0.12 x_{12} & +  0.94 x_{6} & -1.35 x_{7} & -0.87 x_{5} & +  0.02 x_{22} & +  0.03 x_{18} & -1.25 x_{13} & +  0.26 x_{10} & -0.05 x_{31}\\
 x_{11}   &  7.13553477635 & +  0.05 x_{29} & -0.48 x_{15} & -0.05 x_{26} & +  0.08 x_{20} & -0.02 x_{32} & -0.02 x_{30} & -0.08 x_{19} & -0.66 x_{12} & -0.29 x_{6} & -0.95 x_{7} & -2.30 x_{5} & -0.06 x_{22} & -0.05 x_{18} & -0.14 x_{13} & -0.08 x_{10} & -0.03 x_{31}\\
\hline
z    &  96.892891153 & +  0.28 x_{29} & -21.45 x_{15} & +  0.75 x_{26} & +  0.39 x_{20} & +  0.28 x_{32} & -0.24 x_{30} & -0.56 x_{19} & -17.54 x_{12} & -10.39 x_{6} & +  8.17 x_{7} & -8.53 x_{5} & -1.63 x_{22} & -0.75 x_{18} & -0.79 x_{13} & -9.11 x_{10} & +  0.46 x_{31}\\
\end{array}\]


 $ x_{7} $ enters and $ x_{4} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{7}   &  0.00233149449815 & -0.00 x_{29} & +  0.53 x_{15} & -0.05 x_{26} & +  0.03 x_{20} & +  0.00 x_{32} & +  0.03 x_{30} & +  0.01 x_{19} & -0.23 x_{12} & +  0.22 x_{6} & -0.27 x_{4} & -0.57 x_{5} & +  0.01 x_{22} & -0.01 x_{18} & -0.10 x_{13} & -0.27 x_{10} & -0.01 x_{31}\\
 x_{3}   &  3.5551649343 & +  0.01 x_{29} & -0.59 x_{15} & +  0.02 x_{26} & +  0.00 x_{20} & +  0.05 x_{32} & +  0.03 x_{30} & -0.02 x_{19} & -0.60 x_{12} & +  0.23 x_{6} & -0.45 x_{4} & +  0.81 x_{5} & -0.03 x_{22} & -0.04 x_{18} & -0.05 x_{13} & -0.02 x_{10} & +  0.06 x_{31}\\
 x_{24}   &  3.39954613907 & -0.64 x_{29} & -4.14 x_{15} & +  0.08 x_{26} & +  0.63 x_{20} & +  0.82 x_{32} & +  0.79 x_{30} & -0.22 x_{19} & +  3.85 x_{12} & +  9.59 x_{6} & +  4.59 x_{4} & + 19.86 x_{5} & -0.62 x_{22} & +  0.48 x_{18} & -31.63 x_{13} & +  5.83 x_{10} & +  1.41 x_{31}\\
 x_{25}   &  180.437064493 & +  0.43 x_{29} & -46.16 x_{15} & +  0.34 x_{26} & +  1.40 x_{20} & +  0.86 x_{32} & -0.30 x_{30} & -0.41 x_{19} & -45.81 x_{12} & -24.47 x_{6} & +  2.01 x_{4} & -9.78 x_{5} & -3.18 x_{22} & -1.99 x_{18} & +  1.93 x_{13} & -23.12 x_{10} & +  2.21 x_{31}\\
 x_{1}   &  4.36691350681 & -0.02 x_{29} & -1.02 x_{15} & -0.02 x_{26} & -0.00 x_{20} & +  0.05 x_{32} & +  0.01 x_{30} & -0.01 x_{19} & -0.93 x_{12} & +  0.39 x_{6} & -0.43 x_{4} & +  0.18 x_{5} & -0.08 x_{22} & -0.05 x_{18} & -0.36 x_{13} & -0.88 x_{10} & +  0.05 x_{31}\\
 x_{17}   &  48.6156384349 & +  0.93 x_{29} & + 14.43 x_{15} & -0.25 x_{26} & -0.08 x_{20} & -0.57 x_{32} & -0.14 x_{30} & -0.08 x_{19} & -10.94 x_{12} & -3.60 x_{6} & -15.40 x_{4} & -36.17 x_{5} & -0.03 x_{22} & -1.16 x_{18} & + 19.43 x_{13} & -10.39 x_{10} & -0.89 x_{31}\\
 x_{23}   &  176.802055084 & +  1.32 x_{29} & -40.77 x_{15} & +  1.23 x_{26} & +  1.66 x_{20} & +  0.95 x_{32} & -0.02 x_{30} & -2.27 x_{19} & -12.77 x_{12} & -27.65 x_{6} & +  5.74 x_{4} & +  2.52 x_{5} & -2.91 x_{22} & +  0.28 x_{18} & -34.22 x_{13} & + 24.11 x_{10} & +  1.41 x_{31}\\
 x_{2}   &  1.05691121552 & +  0.01 x_{29} & -0.43 x_{15} & +  0.00 x_{26} & -0.05 x_{20} & -0.00 x_{32} & +  0.01 x_{30} & +  0.04 x_{19} & -0.66 x_{12} & +  0.34 x_{6} & -0.14 x_{4} & +  0.19 x_{5} & -0.02 x_{22} & -0.06 x_{18} & +  0.24 x_{13} & -0.47 x_{10} & +  0.06 x_{31}\\
 x_{8}   &  3.90540027532 & -0.04 x_{29} & -1.63 x_{15} & +  0.02 x_{26} & +  0.01 x_{20} & +  0.00 x_{32} & -0.01 x_{30} & +  0.04 x_{19} & -1.11 x_{12} & -0.16 x_{6} & +  0.23 x_{4} & +  0.29 x_{5} & -0.06 x_{22} & -0.07 x_{18} & -0.08 x_{13} & -0.65 x_{10} & +  0.08 x_{31}\\
 x_{9}   &  12.7699374585 & +  0.06 x_{29} & -3.27 x_{15} & +  0.06 x_{26} & +  0.08 x_{20} & +  0.06 x_{32} & +  0.02 x_{30} & -0.06 x_{19} & -3.09 x_{12} & -1.10 x_{6} & -0.34 x_{4} & -0.49 x_{5} & -0.27 x_{22} & -0.09 x_{18} & -1.17 x_{13} & -0.80 x_{10} & +  0.14 x_{31}\\
 x_{27}   &  111.34494774 & +  0.97 x_{29} & +  1.46 x_{15} & -0.48 x_{26} & +  1.33 x_{20} & +  0.48 x_{32} & +  0.10 x_{30} & -1.38 x_{19} & -5.12 x_{12} & -13.04 x_{6} & -13.89 x_{4} & -29.86 x_{5} & -1.04 x_{22} & -0.28 x_{18} & -9.39 x_{13} & -3.66 x_{10} & -0.70 x_{31}\\
 x_{28}   &  246.657177507 & +  0.74 x_{29} & -41.99 x_{15} & +  0.84 x_{26} & +  0.42 x_{20} & +  0.35 x_{32} & +  0.13 x_{30} & -1.31 x_{19} & -45.24 x_{12} & -10.66 x_{6} & -2.97 x_{4} & -18.10 x_{5} & -3.57 x_{22} & -2.03 x_{18} & -2.91 x_{13} & -11.74 x_{10} & +  1.33 x_{31}\\
 x_{14}   &  2.88985848969 & -0.01 x_{29} & -1.88 x_{15} & +  0.04 x_{26} & +  0.06 x_{20} & +  0.06 x_{32} & -0.01 x_{30} & -0.03 x_{19} & -0.43 x_{12} & -0.73 x_{6} & +  0.94 x_{4} & +  1.60 x_{5} & -0.09 x_{22} & +  0.01 x_{18} & -1.57 x_{13} & +  0.92 x_{10} & +  0.14 x_{31}\\
 x_{21}   &  73.561590963 & +  0.11 x_{29} & -3.13 x_{15} & -0.17 x_{26} & +  0.33 x_{20} & +  0.49 x_{32} & +  0.34 x_{30} & -0.25 x_{19} & -11.53 x_{12} & -6.74 x_{6} & -13.15 x_{4} & -8.11 x_{5} & -1.35 x_{22} & +  0.34 x_{18} & -7.07 x_{13} & -13.35 x_{10} & +  0.27 x_{31}\\
 x_{16}   &  2.49561479476 & -0.01 x_{29} & -0.39 x_{15} & +  0.01 x_{26} & +  0.00 x_{20} & -0.04 x_{32} & +  0.01 x_{30} & -0.06 x_{19} & +  0.19 x_{12} & +  0.65 x_{6} & +  0.37 x_{4} & -0.11 x_{5} & +  0.00 x_{22} & +  0.05 x_{18} & -1.12 x_{13} & +  0.62 x_{10} & -0.03 x_{31}\\
 x_{11}   &  7.13331775534 & +  0.05 x_{29} & -0.98 x_{15} & +  0.00 x_{26} & +  0.05 x_{20} & -0.02 x_{32} & -0.04 x_{30} & -0.09 x_{19} & -0.44 x_{12} & -0.50 x_{6} & +  0.26 x_{4} & -1.76 x_{5} & -0.07 x_{22} & -0.03 x_{18} & -0.05 x_{13} & +  0.17 x_{10} & -0.02 x_{31}\\
\hline
z    &  96.9119489849 & +  0.27 x_{29} & -17.14 x_{15} & +  0.31 x_{26} & +  0.62 x_{20} & +  0.28 x_{32} & -0.02 x_{30} & -0.47 x_{19} & -19.42 x_{12} & -8.61 x_{6} & -2.25 x_{4} & -13.16 x_{5} & -1.53 x_{22} & -0.86 x_{18} & -1.57 x_{13} & -11.29 x_{10} & +  0.35 x_{31}\\
\end{array}\]


 $ x_{20} $ enters and $ x_{2} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{7}   &  0.556232914953 & +  0.01 x_{29} & +  0.30 x_{15} & -0.05 x_{26} & -0.52 x_{2} & -0.00 x_{32} & +  0.03 x_{30} & +  0.03 x_{19} & -0.58 x_{12} & +  0.40 x_{6} & -0.35 x_{4} & -0.47 x_{5} & +  0.00 x_{22} & -0.04 x_{18} & +  0.03 x_{13} & -0.51 x_{10} & +  0.02 x_{31}\\
 x_{3}   &  3.61281709888 & +  0.01 x_{29} & -0.62 x_{15} & +  0.02 x_{26} & -0.05 x_{2} & +  0.05 x_{32} & +  0.03 x_{30} & -0.02 x_{19} & -0.64 x_{12} & +  0.25 x_{6} & -0.46 x_{4} & +  0.82 x_{5} & -0.03 x_{22} & -0.05 x_{18} & -0.04 x_{13} & -0.04 x_{10} & +  0.06 x_{31}\\
 x_{24}   &  15.8992702014 & -0.49 x_{29} & -9.18 x_{15} & +  0.09 x_{26} & -11.83 x_{2} & +  0.78 x_{32} & +  0.88 x_{30} & +  0.28 x_{19} & -3.97 x_{12} & + 13.62 x_{6} & +  2.89 x_{4} & + 22.06 x_{5} & -0.86 x_{22} & -0.21 x_{18} & -28.78 x_{13} & +  0.23 x_{10} & +  2.16 x_{31}\\
 x_{25}   &  208.38488605 & +  0.76 x_{29} & -57.42 x_{15} & +  0.36 x_{26} & -26.44 x_{2} & +  0.76 x_{32} & -0.09 x_{30} & +  0.73 x_{19} & -63.31 x_{12} & -15.48 x_{6} & -1.78 x_{4} & -4.86 x_{5} & -3.73 x_{22} & -3.53 x_{18} & +  8.31 x_{13} & -35.64 x_{10} & +  3.87 x_{31}\\
 x_{1}   &  4.30886217963 & -0.02 x_{29} & -1.00 x_{15} & -0.02 x_{26} & +  0.05 x_{2} & +  0.05 x_{32} & +  0.01 x_{30} & -0.01 x_{19} & -0.90 x_{12} & +  0.37 x_{6} & -0.42 x_{4} & +  0.17 x_{5} & -0.07 x_{22} & -0.04 x_{18} & -0.38 x_{13} & -0.85 x_{10} & +  0.05 x_{31}\\
 x_{17}   &  46.9819574624 & +  0.91 x_{29} & + 15.09 x_{15} & -0.25 x_{26} & +  1.55 x_{2} & -0.57 x_{32} & -0.15 x_{30} & -0.14 x_{19} & -9.92 x_{12} & -4.12 x_{6} & -15.17 x_{4} & -36.45 x_{5} & +  0.01 x_{22} & -1.07 x_{18} & + 19.06 x_{13} & -9.66 x_{10} & -0.99 x_{31}\\
 x_{23}   &  210.029386945 & +  1.70 x_{29} & -54.15 x_{15} & +  1.26 x_{26} & -31.44 x_{2} & +  0.83 x_{32} & +  0.22 x_{30} & -0.92 x_{19} & -33.58 x_{12} & -16.96 x_{6} & +  1.24 x_{4} & +  8.38 x_{5} & -3.56 x_{22} & -1.57 x_{18} & -26.64 x_{13} & +  9.23 x_{10} & +  3.39 x_{31}\\
 x_{20}   &  19.9917749052 & +  0.23 x_{29} & -8.05 x_{15} & +  0.02 x_{26} & -18.92 x_{2} & -0.07 x_{32} & +  0.15 x_{30} & +  0.81 x_{19} & -12.52 x_{12} & +  6.43 x_{6} & -2.71 x_{4} & +  3.52 x_{5} & -0.39 x_{22} & -1.11 x_{18} & +  4.56 x_{13} & -8.96 x_{10} & +  1.19 x_{31}\\
 x_{8}   &  4.15007514521 & -0.04 x_{29} & -1.73 x_{15} & +  0.02 x_{26} & -0.23 x_{2} & +  0.00 x_{32} & -0.00 x_{30} & +  0.05 x_{19} & -1.27 x_{12} & -0.08 x_{6} & +  0.20 x_{4} & +  0.33 x_{5} & -0.06 x_{22} & -0.09 x_{18} & -0.02 x_{13} & -0.76 x_{10} & +  0.09 x_{31}\\
 x_{9}   &  14.4042184675 & +  0.08 x_{29} & -3.93 x_{15} & +  0.06 x_{26} & -1.55 x_{2} & +  0.06 x_{32} & +  0.03 x_{30} & +  0.01 x_{19} & -4.12 x_{12} & -0.58 x_{6} & -0.56 x_{4} & -0.21 x_{5} & -0.30 x_{22} & -0.18 x_{18} & -0.80 x_{13} & -1.53 x_{10} & +  0.23 x_{31}\\
 x_{27}   &  137.97804417 & +  1.28 x_{29} & -9.26 x_{15} & -0.46 x_{26} & -25.20 x_{2} & +  0.38 x_{32} & +  0.29 x_{30} & -0.30 x_{19} & -21.80 x_{12} & -4.46 x_{6} & -17.50 x_{4} & -25.16 x_{5} & -1.56 x_{22} & -1.76 x_{18} & -3.32 x_{13} & -15.59 x_{10} & +  0.88 x_{31}\\
 x_{28}   &  255.052028534 & +  0.84 x_{29} & -45.37 x_{15} & +  0.85 x_{26} & -7.94 x_{2} & +  0.32 x_{32} & +  0.19 x_{30} & -0.97 x_{19} & -50.50 x_{12} & -7.96 x_{6} & -4.11 x_{4} & -16.62 x_{5} & -3.74 x_{22} & -2.50 x_{18} & -1.00 x_{13} & -15.50 x_{10} & +  1.83 x_{31}\\
 x_{14}   &  4.13007924639 & +  0.00 x_{29} & -2.38 x_{15} & +  0.04 x_{26} & -1.17 x_{2} & +  0.05 x_{32} & +  0.00 x_{30} & +  0.02 x_{19} & -1.21 x_{12} & -0.33 x_{6} & +  0.78 x_{4} & +  1.82 x_{5} & -0.11 x_{22} & -0.05 x_{18} & -1.29 x_{13} & +  0.36 x_{10} & +  0.22 x_{31}\\
 x_{21}   &  80.1204155708 & +  0.19 x_{29} & -5.77 x_{15} & -0.17 x_{26} & -6.21 x_{2} & +  0.46 x_{32} & +  0.39 x_{30} & +  0.02 x_{19} & -15.64 x_{12} & -4.63 x_{6} & -14.03 x_{4} & -6.96 x_{5} & -1.48 x_{22} & -0.02 x_{18} & -5.58 x_{13} & -16.29 x_{10} & +  0.66 x_{31}\\
 x_{16}   &  2.5599615368 & -0.01 x_{29} & -0.42 x_{15} & +  0.01 x_{26} & -0.06 x_{2} & -0.04 x_{32} & +  0.01 x_{30} & -0.06 x_{19} & +  0.15 x_{12} & +  0.67 x_{6} & +  0.36 x_{4} & -0.10 x_{5} & +  0.00 x_{22} & +  0.04 x_{18} & -1.11 x_{13} & +  0.59 x_{10} & -0.03 x_{31}\\
 x_{11}   &  8.21109378335 & +  0.07 x_{29} & -1.42 x_{15} & +  0.00 x_{26} & -1.02 x_{2} & -0.02 x_{32} & -0.03 x_{30} & -0.04 x_{19} & -1.12 x_{12} & -0.15 x_{6} & +  0.12 x_{4} & -1.57 x_{5} & -0.09 x_{22} & -0.09 x_{18} & +  0.20 x_{13} & -0.31 x_{10} & +  0.05 x_{31}\\
\hline
z    &  109.302734354 & +  0.41 x_{29} & -22.13 x_{15} & +  0.32 x_{26} & -11.72 x_{2} & +  0.24 x_{32} & +  0.07 x_{30} & +  0.04 x_{19} & -27.18 x_{12} & -4.62 x_{6} & -3.93 x_{4} & -10.97 x_{5} & -1.78 x_{22} & -1.55 x_{18} & +  1.26 x_{13} & -16.84 x_{10} & +  1.09 x_{31}\\
\end{array}\]


 $ x_{13} $ enters and $ x_{24} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{7}   &  0.57311194607 & +  0.01 x_{29} & +  0.29 x_{15} & -0.05 x_{26} & -0.54 x_{2} & -0.00 x_{32} & +  0.03 x_{30} & +  0.03 x_{19} & -0.58 x_{12} & +  0.41 x_{6} & -0.35 x_{4} & -0.45 x_{5} & -0.00 x_{22} & -0.04 x_{18} & -0.00 x_{24} & -0.51 x_{10} & +  0.02 x_{31}\\
 x_{3}   &  3.5916862096 & +  0.01 x_{29} & -0.61 x_{15} & +  0.02 x_{26} & -0.04 x_{2} & +  0.05 x_{32} & +  0.03 x_{30} & -0.02 x_{19} & -0.63 x_{12} & +  0.23 x_{6} & -0.46 x_{4} & +  0.79 x_{5} & -0.03 x_{22} & -0.05 x_{18} & +  0.00 x_{24} & -0.04 x_{10} & +  0.06 x_{31}\\
 x_{13}   &  0.552459051686 & -0.02 x_{29} & -0.32 x_{15} & +  0.00 x_{26} & -0.41 x_{2} & +  0.03 x_{32} & +  0.03 x_{30} & +  0.01 x_{19} & -0.14 x_{12} & +  0.47 x_{6} & +  0.10 x_{4} & +  0.77 x_{5} & -0.03 x_{22} & -0.01 x_{18} & -0.03 x_{24} & +  0.01 x_{10} & +  0.07 x_{31}\\
 x_{25}   &  212.976733942 & +  0.61 x_{29} & -60.07 x_{15} & +  0.39 x_{26} & -29.86 x_{2} & +  0.99 x_{32} & +  0.16 x_{30} & +  0.81 x_{19} & -64.46 x_{12} & -11.55 x_{6} & -0.94 x_{4} & +  1.52 x_{5} & -3.98 x_{22} & -3.60 x_{18} & -0.29 x_{24} & -35.57 x_{10} & +  4.49 x_{31}\\
 x_{1}   &  4.10040557745 & -0.01 x_{29} & -0.87 x_{15} & -0.02 x_{26} & +  0.21 x_{2} & +  0.04 x_{32} & +  0.00 x_{30} & -0.01 x_{19} & -0.84 x_{12} & +  0.20 x_{6} & -0.46 x_{4} & -0.12 x_{5} & -0.06 x_{22} & -0.04 x_{18} & +  0.01 x_{24} & -0.85 x_{10} & +  0.02 x_{31}\\
 x_{17}   &  57.5110659113 & +  0.58 x_{29} & +  9.02 x_{15} & -0.19 x_{26} & -6.29 x_{2} & -0.05 x_{32} & +  0.44 x_{30} & +  0.05 x_{19} & -12.55 x_{12} & +  4.89 x_{6} & -13.26 x_{4} & -21.84 x_{5} & -0.57 x_{22} & -1.21 x_{18} & -0.66 x_{24} & -9.51 x_{10} & +  0.44 x_{31}\\
 x_{23}   &  195.313567633 & +  2.16 x_{29} & -45.65 x_{15} & +  1.18 x_{26} & -20.49 x_{2} & +  0.11 x_{32} & -0.60 x_{30} & -1.19 x_{19} & -29.90 x_{12} & -29.56 x_{6} & -1.44 x_{4} & -12.04 x_{5} & -2.76 x_{22} & -1.37 x_{18} & +  0.93 x_{24} & +  9.01 x_{10} & +  1.39 x_{31}\\
 x_{20}   &  22.5123488508 & +  0.15 x_{29} & -9.51 x_{15} & +  0.03 x_{26} & -20.79 x_{2} & +  0.05 x_{32} & +  0.29 x_{30} & +  0.86 x_{19} & -13.15 x_{12} & +  8.59 x_{6} & -2.25 x_{4} & +  7.02 x_{5} & -0.53 x_{22} & -1.14 x_{18} & -0.16 x_{24} & -8.92 x_{10} & +  1.53 x_{31}\\
 x_{8}   &  4.13659777872 & -0.04 x_{29} & -1.72 x_{15} & +  0.02 x_{26} & -0.22 x_{2} & +  0.00 x_{32} & -0.00 x_{30} & +  0.05 x_{19} & -1.26 x_{12} & -0.09 x_{6} & +  0.20 x_{4} & +  0.31 x_{5} & -0.06 x_{22} & -0.09 x_{18} & +  0.00 x_{24} & -0.76 x_{10} & +  0.09 x_{31}\\
 x_{9}   &  13.9631916976 & +  0.10 x_{29} & -3.67 x_{15} & +  0.05 x_{26} & -1.22 x_{2} & +  0.04 x_{32} & +  0.01 x_{30} & -0.00 x_{19} & -4.01 x_{12} & -0.96 x_{6} & -0.64 x_{4} & -0.82 x_{5} & -0.28 x_{22} & -0.18 x_{18} & +  0.03 x_{24} & -1.54 x_{10} & +  0.17 x_{31}\\
 x_{27}   &  136.146579824 & +  1.33 x_{29} & -8.21 x_{15} & -0.47 x_{26} & -23.84 x_{2} & +  0.29 x_{32} & +  0.19 x_{30} & -0.33 x_{19} & -21.34 x_{12} & -6.03 x_{6} & -17.83 x_{4} & -27.70 x_{5} & -1.46 x_{22} & -1.73 x_{18} & +  0.12 x_{24} & -15.61 x_{10} & +  0.63 x_{31}\\
 x_{28}   &  254.502081483 & +  0.85 x_{29} & -45.06 x_{15} & +  0.85 x_{26} & -7.53 x_{2} & +  0.29 x_{32} & +  0.16 x_{30} & -0.98 x_{19} & -50.36 x_{12} & -8.43 x_{6} & -4.21 x_{4} & -17.38 x_{5} & -3.71 x_{22} & -2.49 x_{18} & +  0.03 x_{24} & -15.51 x_{10} & +  1.75 x_{31}\\
 x_{14}   &  3.4174096347 & +  0.03 x_{29} & -1.97 x_{15} & +  0.03 x_{26} & -0.64 x_{2} & +  0.02 x_{32} & -0.04 x_{30} & +  0.01 x_{19} & -1.03 x_{12} & -0.94 x_{6} & +  0.65 x_{4} & +  0.83 x_{5} & -0.08 x_{22} & -0.04 x_{18} & +  0.04 x_{24} & +  0.35 x_{10} & +  0.12 x_{31}\\
 x_{21}   &  77.0397730203 & +  0.29 x_{29} & -3.99 x_{15} & -0.19 x_{26} & -3.91 x_{2} & +  0.31 x_{32} & +  0.22 x_{30} & -0.04 x_{19} & -14.87 x_{12} & -7.27 x_{6} & -14.60 x_{4} & -11.23 x_{5} & -1.32 x_{22} & +  0.02 x_{18} & +  0.19 x_{24} & -16.33 x_{10} & +  0.24 x_{31}\\
 x_{16}   &  1.94707041109 & +  0.01 x_{29} & -0.06 x_{15} & +  0.01 x_{26} & +  0.40 x_{2} & -0.07 x_{32} & -0.03 x_{30} & -0.07 x_{19} & +  0.30 x_{12} & +  0.15 x_{6} & +  0.25 x_{4} & -0.95 x_{5} & +  0.04 x_{22} & +  0.05 x_{18} & +  0.04 x_{24} & +  0.58 x_{10} & -0.11 x_{31}\\
 x_{11}   &  8.31888560236 & +  0.06 x_{29} & -1.48 x_{15} & +  0.01 x_{26} & -1.10 x_{2} & -0.02 x_{32} & -0.03 x_{30} & -0.04 x_{19} & -1.15 x_{12} & -0.06 x_{6} & +  0.13 x_{4} & -1.42 x_{5} & -0.09 x_{22} & -0.09 x_{18} & -0.01 x_{24} & -0.31 x_{10} & +  0.06 x_{31}\\
\hline
z    &  109.997102238 & +  0.39 x_{29} & -22.53 x_{15} & +  0.32 x_{26} & -12.24 x_{2} & +  0.27 x_{32} & +  0.11 x_{30} & +  0.05 x_{19} & -27.36 x_{12} & -4.03 x_{6} & -3.80 x_{4} & -10.01 x_{5} & -1.81 x_{22} & -1.55 x_{18} & -0.04 x_{24} & -16.83 x_{10} & +  1.18 x_{31}\\
\end{array}\]


 $ x_{19} $ enters and $ x_{16} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{7}   &  1.53209506235 & +  0.01 x_{29} & +  0.26 x_{15} & -0.05 x_{26} & -0.34 x_{2} & -0.04 x_{32} & +  0.02 x_{30} & -0.49 x_{16} & -0.43 x_{12} & +  0.48 x_{6} & -0.22 x_{4} & -0.91 x_{5} & +  0.02 x_{22} & -0.02 x_{18} & +  0.02 x_{24} & -0.23 x_{10} & -0.03 x_{31}\\
 x_{3}   &  3.10442025458 & +  0.01 x_{29} & -0.59 x_{15} & +  0.01 x_{26} & -0.14 x_{2} & +  0.07 x_{32} & +  0.04 x_{30} & +  0.25 x_{16} & -0.71 x_{12} & +  0.19 x_{6} & -0.52 x_{4} & +  1.03 x_{5} & -0.04 x_{22} & -0.06 x_{18} & -0.01 x_{24} & -0.19 x_{10} & +  0.09 x_{31}\\
 x_{13}   &  0.825398989401 & -0.02 x_{29} & -0.33 x_{15} & +  0.00 x_{26} & -0.36 x_{2} & +  0.02 x_{32} & +  0.03 x_{30} & -0.14 x_{16} & -0.10 x_{12} & +  0.49 x_{6} & +  0.14 x_{4} & +  0.63 x_{5} & -0.02 x_{22} & -0.00 x_{18} & -0.03 x_{24} & +  0.09 x_{10} & +  0.06 x_{31}\\
 x_{25}   &  235.302522406 & +  0.69 x_{29} & -60.80 x_{15} & +  0.50 x_{26} & -25.33 x_{2} & +  0.15 x_{32} & -0.14 x_{30} & -11.47 x_{16} & -61.02 x_{12} & -9.87 x_{6} & +  1.94 x_{4} & -9.34 x_{5} & -3.56 x_{22} & -3.02 x_{18} & +  0.15 x_{24} & -28.91 x_{10} & +  3.22 x_{31}\\
 x_{1}   &  3.74523343655 & -0.02 x_{29} & -0.86 x_{15} & -0.02 x_{26} & +  0.14 x_{2} & +  0.05 x_{32} & +  0.01 x_{30} & +  0.18 x_{16} & -0.90 x_{12} & +  0.17 x_{6} & -0.51 x_{4} & +  0.05 x_{5} & -0.07 x_{22} & -0.05 x_{18} & +  0.01 x_{24} & -0.96 x_{10} & +  0.04 x_{31}\\
 x_{17}   &  58.7723181989 & +  0.59 x_{29} & +  8.97 x_{15} & -0.19 x_{26} & -6.03 x_{2} & -0.10 x_{32} & +  0.42 x_{30} & -0.65 x_{16} & -12.35 x_{12} & +  4.99 x_{6} & -13.09 x_{4} & -22.46 x_{5} & -0.54 x_{22} & -1.18 x_{18} & -0.64 x_{24} & -9.13 x_{10} & +  0.37 x_{31}\\
 x_{23}   &  162.494542704 & +  2.04 x_{29} & -44.58 x_{15} & +  1.01 x_{26} & -27.15 x_{2} & +  1.34 x_{32} & -0.15 x_{30} & + 16.86 x_{16} & -34.96 x_{12} & -32.03 x_{6} & -5.68 x_{4} & +  3.92 x_{5} & -3.37 x_{22} & -2.21 x_{18} & +  0.28 x_{24} & -0.78 x_{10} & +  3.26 x_{31}\\
 x_{20}   &  46.1922724047 & +  0.24 x_{29} & -10.28 x_{15} & +  0.15 x_{26} & -15.99 x_{2} & -0.84 x_{32} & -0.04 x_{30} & -12.16 x_{16} & -9.50 x_{12} & + 10.37 x_{6} & +  0.80 x_{4} & -4.50 x_{5} & -0.09 x_{22} & -0.53 x_{18} & +  0.31 x_{24} & -1.85 x_{10} & +  0.18 x_{31}\\
 x_{8}   &  5.50554981527 & -0.03 x_{29} & -1.76 x_{15} & +  0.03 x_{26} & +  0.06 x_{2} & -0.05 x_{32} & -0.02 x_{30} & -0.70 x_{16} & -1.05 x_{12} & +  0.01 x_{6} & +  0.37 x_{4} & -0.35 x_{5} & -0.04 x_{22} & -0.05 x_{18} & +  0.03 x_{24} & -0.35 x_{10} & +  0.01 x_{31}\\
 x_{9}   &  13.9144032822 & +  0.09 x_{29} & -3.67 x_{15} & +  0.05 x_{26} & -1.23 x_{2} & +  0.04 x_{32} & +  0.01 x_{30} & +  0.03 x_{16} & -4.02 x_{12} & -0.96 x_{6} & -0.65 x_{4} & -0.79 x_{5} & -0.28 x_{22} & -0.18 x_{18} & +  0.03 x_{24} & -1.55 x_{10} & +  0.18 x_{31}\\
 x_{27}   &  127.08873282 & +  1.30 x_{29} & -7.91 x_{15} & -0.52 x_{26} & -25.67 x_{2} & +  0.63 x_{32} & +  0.32 x_{30} & +  4.65 x_{16} & -22.74 x_{12} & -6.71 x_{6} & -19.00 x_{4} & -23.30 x_{5} & -1.63 x_{22} & -1.96 x_{18} & -0.06 x_{24} & -18.32 x_{10} & +  1.15 x_{31}\\
 x_{28}   &  227.364158586 & +  0.75 x_{29} & -44.17 x_{15} & +  0.71 x_{26} & -13.04 x_{2} & +  1.31 x_{32} & +  0.53 x_{30} & + 13.94 x_{16} & -54.54 x_{12} & -10.47 x_{6} & -7.71 x_{4} & -4.18 x_{5} & -4.20 x_{22} & -3.19 x_{18} & -0.50 x_{24} & -23.60 x_{10} & +  3.30 x_{31}\\
 x_{14}   &  3.73277345292 & +  0.03 x_{29} & -1.98 x_{15} & +  0.04 x_{26} & -0.58 x_{2} & +  0.00 x_{32} & -0.04 x_{30} & -0.16 x_{16} & -0.98 x_{12} & -0.91 x_{6} & +  0.69 x_{4} & +  0.68 x_{5} & -0.07 x_{22} & -0.04 x_{18} & +  0.05 x_{24} & +  0.45 x_{10} & +  0.10 x_{31}\\
 x_{21}   &  75.9571216277 & +  0.28 x_{29} & -3.96 x_{15} & -0.19 x_{26} & -4.13 x_{2} & +  0.35 x_{32} & +  0.23 x_{30} & +  0.56 x_{16} & -15.03 x_{12} & -7.35 x_{6} & -14.74 x_{4} & -10.71 x_{5} & -1.34 x_{22} & -0.01 x_{18} & +  0.17 x_{24} & -16.66 x_{10} & +  0.30 x_{31}\\
 x_{19}   &  27.6270178782 & +  0.10 x_{29} & -0.90 x_{15} & +  0.14 x_{26} & +  5.60 x_{2} & -1.04 x_{32} & -0.38 x_{30} & -14.19 x_{16} & +  4.25 x_{12} & +  2.08 x_{6} & +  3.57 x_{4} & -13.44 x_{5} & +  0.51 x_{22} & +  0.71 x_{18} & +  0.55 x_{24} & +  8.24 x_{10} & -1.57 x_{31}\\
 x_{11}   &  7.19512425676 & +  0.06 x_{29} & -1.44 x_{15} & -0.00 x_{26} & -1.33 x_{2} & +  0.03 x_{32} & -0.01 x_{30} & +  0.58 x_{16} & -1.32 x_{12} & -0.14 x_{6} & -0.01 x_{4} & -0.88 x_{5} & -0.12 x_{22} & -0.12 x_{18} & -0.03 x_{24} & -0.65 x_{10} & +  0.13 x_{31}\\
\hline
z    &  111.35062434 & +  0.40 x_{29} & -22.57 x_{15} & +  0.33 x_{26} & -11.97 x_{2} & +  0.22 x_{32} & +  0.09 x_{30} & -0.70 x_{16} & -27.15 x_{12} & -3.93 x_{6} & -3.63 x_{4} & -10.67 x_{5} & -1.79 x_{22} & -1.52 x_{18} & -0.02 x_{24} & -16.42 x_{10} & +  1.11 x_{31}\\
\end{array}\]


 $ x_{26} $ enters and $ x_{7} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{26}   &  31.3326232259 & +  0.17 x_{29} & +  5.37 x_{15} & -20.45 x_{7} & -7.00 x_{2} & -0.74 x_{32} & +  0.39 x_{30} & -10.07 x_{16} & -8.86 x_{12} & +  9.86 x_{6} & -4.56 x_{4} & -18.65 x_{5} & +  0.36 x_{22} & -0.40 x_{18} & +  0.37 x_{24} & -4.65 x_{10} & -0.67 x_{31}\\
 x_{3}   &  3.49967381536 & +  0.01 x_{29} & -0.52 x_{15} & -0.26 x_{7} & -0.23 x_{2} & +  0.06 x_{32} & +  0.04 x_{30} & +  0.12 x_{16} & -0.82 x_{12} & +  0.32 x_{6} & -0.58 x_{4} & +  0.80 x_{5} & -0.04 x_{22} & -0.06 x_{18} & -0.00 x_{24} & -0.25 x_{10} & +  0.08 x_{31}\\
 x_{13}   &  0.969948956665 & -0.02 x_{29} & -0.30 x_{15} & -0.09 x_{7} & -0.39 x_{2} & +  0.01 x_{32} & +  0.03 x_{30} & -0.19 x_{16} & -0.14 x_{12} & +  0.54 x_{6} & +  0.11 x_{4} & +  0.55 x_{5} & -0.02 x_{22} & -0.00 x_{18} & -0.03 x_{24} & +  0.07 x_{10} & +  0.06 x_{31}\\
 x_{25}   &  251.085825338 & +  0.78 x_{29} & -58.09 x_{15} & -10.30 x_{7} & -28.85 x_{2} & -0.23 x_{32} & +  0.05 x_{30} & -16.54 x_{16} & -65.48 x_{12} & -4.90 x_{6} & -0.36 x_{4} & -18.74 x_{5} & -3.38 x_{22} & -3.22 x_{18} & +  0.34 x_{24} & -31.26 x_{10} & +  2.88 x_{31}\\
 x_{1}   &  3.04497085438 & -0.02 x_{29} & -0.98 x_{15} & +  0.46 x_{7} & +  0.29 x_{2} & +  0.07 x_{32} & -0.00 x_{30} & +  0.41 x_{16} & -0.70 x_{12} & -0.05 x_{6} & -0.40 x_{4} & +  0.47 x_{5} & -0.08 x_{22} & -0.04 x_{18} & -0.00 x_{24} & -0.86 x_{10} & +  0.06 x_{31}\\
 x_{17}   &  52.9336007534 & +  0.55 x_{29} & +  7.97 x_{15} & +  3.81 x_{7} & -4.73 x_{2} & +  0.04 x_{32} & +  0.35 x_{30} & +  1.23 x_{16} & -10.70 x_{12} & +  3.15 x_{6} & -12.24 x_{4} & -18.98 x_{5} & -0.61 x_{22} & -1.11 x_{18} & -0.71 x_{24} & -8.26 x_{10} & +  0.50 x_{31}\\
 x_{23}   &  194.093617416 & +  2.22 x_{29} & -39.16 x_{15} & -20.62 x_{7} & -34.21 x_{2} & +  0.60 x_{32} & +  0.25 x_{30} & +  6.70 x_{16} & -43.89 x_{12} & -22.08 x_{6} & -10.28 x_{4} & -14.89 x_{5} & -3.01 x_{22} & -2.62 x_{18} & +  0.65 x_{24} & -5.47 x_{10} & +  2.58 x_{31}\\
 x_{20}   &  51.0145512851 & +  0.27 x_{29} & -9.45 x_{15} & -3.15 x_{7} & -17.06 x_{2} & -0.95 x_{32} & +  0.02 x_{30} & -13.71 x_{16} & -10.87 x_{12} & + 11.89 x_{6} & +  0.10 x_{4} & -7.37 x_{5} & -0.04 x_{22} & -0.59 x_{18} & +  0.37 x_{24} & -2.57 x_{10} & +  0.08 x_{31}\\
 x_{8}   &  6.48783878723 & -0.03 x_{29} & -1.60 x_{15} & -0.64 x_{7} & -0.16 x_{2} & -0.07 x_{32} & -0.01 x_{30} & -1.02 x_{16} & -1.33 x_{12} & +  0.32 x_{6} & +  0.23 x_{4} & -0.94 x_{5} & -0.03 x_{22} & -0.07 x_{18} & +  0.04 x_{24} & -0.49 x_{10} & -0.01 x_{31}\\
 x_{9}   &  15.6222328479 & +  0.10 x_{29} & -3.38 x_{15} & -1.11 x_{7} & -1.61 x_{2} & -0.00 x_{32} & +  0.03 x_{30} & -0.52 x_{16} & -4.50 x_{12} & -0.42 x_{6} & -0.90 x_{4} & -1.81 x_{5} & -0.26 x_{22} & -0.20 x_{18} & +  0.05 x_{24} & -1.80 x_{10} & +  0.14 x_{31}\\
 x_{27}   &  110.931688553 & +  1.21 x_{29} & -10.68 x_{15} & + 10.55 x_{7} & -22.07 x_{2} & +  1.01 x_{32} & +  0.11 x_{30} & +  9.85 x_{16} & -18.17 x_{12} & -11.80 x_{6} & -16.65 x_{4} & -13.68 x_{5} & -1.81 x_{22} & -1.76 x_{18} & -0.25 x_{24} & -15.92 x_{10} & +  1.49 x_{31}\\
 x_{28}   &  249.570718484 & +  0.88 x_{29} & -40.36 x_{15} & -14.49 x_{7} & -18.00 x_{2} & +  0.78 x_{32} & +  0.81 x_{30} & +  6.80 x_{16} & -60.82 x_{12} & -3.48 x_{6} & -10.95 x_{4} & -17.40 x_{5} & -3.95 x_{22} & -3.47 x_{18} & -0.24 x_{24} & -26.90 x_{10} & +  2.82 x_{31}\\
 x_{14}   &  4.86096550654 & +  0.03 x_{29} & -1.78 x_{15} & -0.74 x_{7} & -0.83 x_{2} & -0.02 x_{32} & -0.03 x_{30} & -0.52 x_{16} & -1.30 x_{12} & -0.56 x_{6} & +  0.52 x_{4} & +  0.00 x_{5} & -0.06 x_{22} & -0.05 x_{18} & +  0.06 x_{24} & +  0.28 x_{10} & +  0.08 x_{31}\\
 x_{21}   &  69.9235065648 & +  0.25 x_{29} & -4.99 x_{15} & +  3.94 x_{7} & -2.79 x_{2} & +  0.50 x_{32} & +  0.15 x_{30} & +  2.50 x_{16} & -13.33 x_{12} & -9.25 x_{6} & -13.86 x_{4} & -7.11 x_{5} & -1.41 x_{22} & +  0.07 x_{18} & +  0.10 x_{24} & -15.76 x_{10} & +  0.43 x_{31}\\
 x_{19}   &  32.0611934081 & +  0.12 x_{29} & -0.14 x_{15} & -2.89 x_{7} & +  4.61 x_{2} & -1.14 x_{32} & -0.32 x_{30} & -15.61 x_{16} & +  3.00 x_{12} & +  3.47 x_{6} & +  2.92 x_{4} & -16.08 x_{5} & +  0.56 x_{22} & +  0.65 x_{18} & +  0.60 x_{24} & +  7.58 x_{10} & -1.67 x_{31}\\
 x_{11}   &  7.17879580271 & +  0.06 x_{29} & -1.44 x_{15} & +  0.01 x_{7} & -1.32 x_{2} & +  0.03 x_{32} & -0.01 x_{30} & +  0.58 x_{16} & -1.31 x_{12} & -0.15 x_{6} & -0.01 x_{4} & -0.87 x_{5} & -0.12 x_{22} & -0.12 x_{18} & -0.03 x_{24} & -0.65 x_{10} & +  0.13 x_{31}\\
\hline
z    &  121.717253086 & +  0.45 x_{29} & -20.80 x_{15} & -6.77 x_{7} & -14.28 x_{2} & -0.02 x_{32} & +  0.22 x_{30} & -4.03 x_{16} & -30.08 x_{12} & -0.66 x_{6} & -5.14 x_{4} & -16.84 x_{5} & -1.67 x_{22} & -1.65 x_{18} & +  0.10 x_{24} & -17.96 x_{10} & +  0.88 x_{31}\\
\end{array}\]


 $ x_{24} $ enters and $ x_{13} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{26}   &  44.1905217717 & -0.03 x_{29} & +  1.36 x_{15} & -21.70 x_{7} & -12.14 x_{2} & -0.57 x_{32} & +  0.77 x_{30} & -12.55 x_{16} & -10.68 x_{12} & + 17.01 x_{6} & -3.04 x_{4} & -11.39 x_{5} & +  0.05 x_{22} & -0.43 x_{18} & -13.26 x_{13} & -3.75 x_{10} & +  0.08 x_{31}\\
 x_{3}   &  3.37011214947 & +  0.02 x_{29} & -0.48 x_{15} & -0.25 x_{7} & -0.17 x_{2} & +  0.06 x_{32} & +  0.04 x_{30} & +  0.15 x_{16} & -0.80 x_{12} & +  0.25 x_{6} & -0.60 x_{4} & +  0.72 x_{5} & -0.03 x_{22} & -0.06 x_{18} & +  0.13 x_{13} & -0.25 x_{10} & +  0.07 x_{31}\\
 x_{24}   &  35.0762207382 & -0.56 x_{29} & -10.96 x_{15} & -3.41 x_{7} & -14.03 x_{2} & +  0.48 x_{32} & +  1.04 x_{30} & -6.75 x_{16} & -4.95 x_{12} & + 19.50 x_{6} & +  4.15 x_{4} & + 19.81 x_{5} & -0.84 x_{22} & -0.08 x_{18} & -36.16 x_{13} & +  2.46 x_{10} & +  2.04 x_{31}\\
 x_{25}   &  262.936477276 & +  0.59 x_{29} & -61.79 x_{15} & -11.45 x_{7} & -33.59 x_{2} & -0.06 x_{32} & +  0.40 x_{30} & -18.82 x_{16} & -67.16 x_{12} & +  1.68 x_{6} & +  1.04 x_{4} & -12.05 x_{5} & -3.67 x_{22} & -3.25 x_{18} & -12.22 x_{13} & -30.42 x_{10} & +  3.57 x_{31}\\
 x_{1}   &  2.9708456063 & -0.02 x_{29} & -0.96 x_{15} & +  0.46 x_{7} & +  0.32 x_{2} & +  0.07 x_{32} & -0.00 x_{30} & +  0.42 x_{16} & -0.69 x_{12} & -0.09 x_{6} & -0.41 x_{4} & +  0.43 x_{5} & -0.08 x_{22} & -0.04 x_{18} & +  0.08 x_{13} & -0.86 x_{10} & +  0.05 x_{31}\\
 x_{17}   &  28.1846255899 & +  0.95 x_{29} & + 15.70 x_{15} & +  6.22 x_{7} & +  5.17 x_{2} & -0.30 x_{32} & -0.39 x_{30} & +  5.99 x_{16} & -7.21 x_{12} & -10.61 x_{6} & -15.17 x_{4} & -32.96 x_{5} & -0.01 x_{22} & -1.05 x_{18} & + 25.52 x_{13} & -10.00 x_{10} & -0.94 x_{31}\\
 x_{23}   &  216.735228612 & +  1.86 x_{29} & -46.23 x_{15} & -22.83 x_{7} & -43.26 x_{2} & +  0.91 x_{32} & +  0.92 x_{30} & +  2.34 x_{16} & -47.09 x_{12} & -9.50 x_{6} & -7.60 x_{4} & -2.10 x_{5} & -3.55 x_{22} & -2.67 x_{18} & -23.34 x_{13} & -3.88 x_{10} & +  3.90 x_{31}\\
 x_{20}   &  63.8770703658 & +  0.06 x_{29} & -13.47 x_{15} & -4.40 x_{7} & -22.21 x_{2} & -0.77 x_{32} & +  0.40 x_{30} & -16.19 x_{16} & -12.68 x_{12} & + 19.04 x_{6} & +  1.62 x_{4} & -0.10 x_{5} & -0.35 x_{22} & -0.62 x_{18} & -13.26 x_{13} & -1.67 x_{10} & +  0.82 x_{31}\\
 x_{8}   &  7.87133228619 & -0.05 x_{29} & -2.03 x_{15} & -0.78 x_{7} & -0.72 x_{2} & -0.05 x_{32} & +  0.03 x_{30} & -1.29 x_{16} & -1.53 x_{12} & +  1.09 x_{6} & +  0.39 x_{4} & -0.15 x_{5} & -0.06 x_{22} & -0.07 x_{18} & -1.43 x_{13} & -0.40 x_{10} & +  0.07 x_{31}\\
 x_{9}   &  17.2621627009 & +  0.08 x_{29} & -3.89 x_{15} & -1.27 x_{7} & -2.27 x_{2} & +  0.02 x_{32} & +  0.08 x_{30} & -0.84 x_{16} & -4.73 x_{12} & +  0.49 x_{6} & -0.70 x_{4} & -0.89 x_{5} & -0.30 x_{22} & -0.20 x_{18} & -1.69 x_{13} & -1.69 x_{10} & +  0.23 x_{31}\\
 x_{27}   &  102.051680524 & +  1.35 x_{29} & -7.91 x_{15} & + 11.41 x_{7} & -18.52 x_{2} & +  0.89 x_{32} & -0.15 x_{30} & + 11.55 x_{16} & -16.91 x_{12} & -16.74 x_{6} & -17.70 x_{4} & -18.69 x_{5} & -1.60 x_{22} & -1.74 x_{18} & +  9.16 x_{13} & -16.54 x_{10} & +  0.98 x_{31}\\
 x_{28}   &  241.051072174 & +  1.01 x_{29} & -37.70 x_{15} & -13.67 x_{7} & -14.59 x_{2} & +  0.67 x_{32} & +  0.56 x_{30} & +  8.44 x_{16} & -59.62 x_{12} & -8.22 x_{6} & -11.95 x_{4} & -22.22 x_{5} & -3.74 x_{22} & -3.45 x_{18} & +  8.78 x_{13} & -27.50 x_{10} & +  2.33 x_{31}\\
 x_{14}   &  7.11519981028 & -0.00 x_{29} & -2.49 x_{15} & -0.96 x_{7} & -1.73 x_{2} & +  0.01 x_{32} & +  0.04 x_{30} & -0.96 x_{16} & -1.62 x_{12} & +  0.70 x_{6} & +  0.79 x_{4} & +  1.28 x_{5} & -0.11 x_{22} & -0.06 x_{18} & -2.32 x_{13} & +  0.44 x_{10} & +  0.21 x_{31}\\
 x_{21}   &  73.4920330227 & +  0.19 x_{29} & -6.10 x_{15} & +  3.59 x_{7} & -4.21 x_{2} & +  0.55 x_{32} & +  0.26 x_{30} & +  1.81 x_{16} & -13.83 x_{12} & -7.27 x_{6} & -13.43 x_{4} & -5.10 x_{5} & -1.49 x_{22} & +  0.06 x_{18} & -3.68 x_{13} & -15.51 x_{10} & +  0.64 x_{31}\\
 x_{19}   &  53.0662551426 & -0.21 x_{29} & -6.71 x_{15} & -4.94 x_{7} & -3.78 x_{2} & -0.85 x_{32} & +  0.30 x_{30} & -19.66 x_{16} & +  0.03 x_{12} & + 15.15 x_{6} & +  5.40 x_{4} & -4.21 x_{5} & +  0.05 x_{22} & +  0.61 x_{18} & -21.66 x_{13} & +  9.06 x_{10} & -0.45 x_{31}\\
 x_{11}   &  6.15390048496 & +  0.07 x_{29} & -1.12 x_{15} & +  0.11 x_{7} & -0.91 x_{2} & +  0.01 x_{32} & -0.04 x_{30} & +  0.78 x_{16} & -1.17 x_{12} & -0.72 x_{6} & -0.13 x_{4} & -1.45 x_{5} & -0.09 x_{22} & -0.12 x_{18} & +  1.06 x_{13} & -0.72 x_{10} & +  0.07 x_{31}\\
\hline
z    &  125.379447055 & +  0.40 x_{29} & -21.94 x_{15} & -7.12 x_{7} & -15.74 x_{2} & +  0.03 x_{32} & +  0.33 x_{30} & -4.73 x_{16} & -30.60 x_{12} & +  1.37 x_{6} & -4.70 x_{4} & -14.77 x_{5} & -1.76 x_{22} & -1.66 x_{18} & -3.78 x_{13} & -17.71 x_{10} & +  1.10 x_{31}\\
\end{array}\]


 $ x_{6} $ enters and $ x_{17} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{26}   &  89.3945689231 & +  1.49 x_{29} & + 26.54 x_{15} & -11.73 x_{7} & -3.85 x_{2} & -1.05 x_{32} & +  0.15 x_{30} & -2.94 x_{16} & -22.24 x_{12} & -1.60 x_{17} & -27.38 x_{4} & -64.25 x_{5} & +  0.03 x_{22} & -2.11 x_{18} & + 27.67 x_{13} & -19.79 x_{10} & -1.43 x_{31}\\
 x_{3}   &  4.02673895572 & +  0.04 x_{29} & -0.12 x_{15} & -0.10 x_{7} & -0.05 x_{2} & +  0.05 x_{32} & +  0.03 x_{30} & +  0.29 x_{16} & -0.97 x_{12} & -0.02 x_{17} & -0.95 x_{4} & -0.04 x_{5} & -0.03 x_{22} & -0.09 x_{18} & +  0.73 x_{13} & -0.49 x_{10} & +  0.05 x_{31}\\
 x_{24}   &  86.8925062221 & +  1.18 x_{29} & + 17.91 x_{15} & +  8.02 x_{7} & -4.52 x_{2} & -0.08 x_{32} & +  0.33 x_{30} & +  4.27 x_{16} & -18.20 x_{12} & -1.84 x_{17} & -23.74 x_{4} & -40.78 x_{5} & -0.87 x_{22} & -2.01 x_{18} & + 10.75 x_{13} & -15.92 x_{10} & +  0.31 x_{31}\\
 x_{25}   &  267.414317705 & +  0.74 x_{29} & -59.30 x_{15} & -10.47 x_{7} & -32.77 x_{2} & -0.11 x_{32} & +  0.34 x_{30} & -17.87 x_{16} & -68.30 x_{12} & -0.16 x_{17} & -1.37 x_{4} & -17.28 x_{5} & -3.67 x_{22} & -3.42 x_{18} & -8.16 x_{13} & -32.01 x_{10} & +  3.42 x_{31}\\
 x_{1}   &  2.72331127502 & -0.03 x_{29} & -1.10 x_{15} & +  0.41 x_{7} & +  0.28 x_{2} & +  0.07 x_{32} & -0.00 x_{30} & +  0.37 x_{16} & -0.63 x_{12} & +  0.01 x_{17} & -0.28 x_{4} & +  0.72 x_{5} & -0.08 x_{22} & -0.03 x_{18} & -0.15 x_{13} & -0.77 x_{10} & +  0.06 x_{31}\\
 x_{6}   &  2.65747984289 & +  0.09 x_{29} & +  1.48 x_{15} & +  0.59 x_{7} & +  0.49 x_{2} & -0.03 x_{32} & -0.04 x_{30} & +  0.56 x_{16} & -0.68 x_{12} & -0.09 x_{17} & -1.43 x_{4} & -3.11 x_{5} & -0.00 x_{22} & -0.10 x_{18} & +  2.41 x_{13} & -0.94 x_{10} & -0.09 x_{31}\\
 x_{23}   &  191.498938673 & +  1.01 x_{29} & -60.29 x_{15} & -28.39 x_{7} & -47.89 x_{2} & +  1.18 x_{32} & +  1.27 x_{30} & -3.02 x_{16} & -40.64 x_{12} & +  0.90 x_{17} & +  5.98 x_{4} & + 27.41 x_{5} & -3.54 x_{22} & -1.73 x_{18} & -46.19 x_{13} & +  5.07 x_{10} & +  4.74 x_{31}\\
 x_{20}   &  114.474134411 & +  1.76 x_{29} & + 14.72 x_{15} & +  6.76 x_{7} & -12.93 x_{2} & -1.32 x_{32} & -0.29 x_{30} & -5.43 x_{16} & -25.62 x_{12} & -1.80 x_{17} & -25.61 x_{4} & -59.27 x_{5} & -0.37 x_{22} & -2.51 x_{18} & + 32.54 x_{13} & -19.62 x_{10} & -0.86 x_{31}\\
 x_{8}   &  10.7697244763 & +  0.05 x_{29} & -0.41 x_{15} & -0.14 x_{7} & -0.18 x_{2} & -0.08 x_{32} & -0.01 x_{30} & -0.67 x_{16} & -2.27 x_{12} & -0.10 x_{17} & -1.17 x_{4} & -3.54 x_{5} & -0.06 x_{22} & -0.18 x_{18} & +  1.20 x_{13} & -1.42 x_{10} & -0.02 x_{31}\\
 x_{9}   &  18.5641543736 & +  0.12 x_{29} & -3.16 x_{15} & -0.99 x_{7} & -2.03 x_{2} & +  0.01 x_{32} & +  0.06 x_{30} & -0.56 x_{16} & -5.06 x_{12} & -0.05 x_{17} & -1.40 x_{4} & -2.41 x_{5} & -0.30 x_{22} & -0.25 x_{18} & -0.51 x_{13} & -2.15 x_{10} & +  0.19 x_{31}\\
 x_{27}   &  57.5767914549 & -0.14 x_{29} & -32.69 x_{15} & +  1.60 x_{7} & -26.67 x_{2} & +  1.37 x_{32} & +  0.46 x_{30} & +  2.10 x_{16} & -5.54 x_{12} & +  1.58 x_{17} & +  6.24 x_{4} & + 33.31 x_{5} & -1.57 x_{22} & -0.08 x_{18} & -31.11 x_{13} & -0.76 x_{10} & +  2.46 x_{31}\\
 x_{28}   &  219.218573382 & +  0.28 x_{29} & -49.86 x_{15} & -18.48 x_{7} & -18.60 x_{2} & +  0.90 x_{32} & +  0.86 x_{30} & +  3.80 x_{16} & -54.04 x_{12} & +  0.77 x_{17} & -0.20 x_{4} & +  3.31 x_{5} & -3.73 x_{22} & -2.64 x_{18} & -10.98 x_{13} & -19.75 x_{10} & +  3.06 x_{31}\\
 x_{14}   &  8.96267856217 & +  0.06 x_{29} & -1.46 x_{15} & -0.55 x_{7} & -1.39 x_{2} & -0.01 x_{32} & +  0.01 x_{30} & -0.57 x_{16} & -2.09 x_{12} & -0.07 x_{17} & -0.21 x_{4} & -0.88 x_{5} & -0.11 x_{22} & -0.12 x_{18} & -0.65 x_{13} & -0.22 x_{10} & +  0.15 x_{31}\\
 x_{21}   &  54.1830764544 & -0.46 x_{29} & -16.86 x_{15} & -0.67 x_{7} & -7.76 x_{2} & +  0.75 x_{32} & +  0.53 x_{30} & -2.30 x_{16} & -8.89 x_{12} & +  0.69 x_{17} & -3.04 x_{4} & + 17.48 x_{5} & -1.48 x_{22} & +  0.78 x_{18} & -21.16 x_{13} & -8.66 x_{10} & +  1.28 x_{31}\\
 x_{19}   &  93.3211866769 & +  1.14 x_{29} & + 15.72 x_{15} & +  3.94 x_{7} & +  3.60 x_{2} & -1.28 x_{32} & -0.26 x_{30} & -11.10 x_{16} & -10.26 x_{12} & -1.43 x_{17} & -16.26 x_{4} & -51.29 x_{5} & +  0.03 x_{22} & -0.89 x_{18} & + 14.79 x_{13} & -5.22 x_{10} & -1.79 x_{31}\\
 x_{11}   &  4.24780118998 & +  0.01 x_{29} & -2.19 x_{15} & -0.31 x_{7} & -1.26 x_{2} & +  0.03 x_{32} & -0.02 x_{30} & +  0.37 x_{16} & -0.68 x_{12} & +  0.07 x_{17} & +  0.90 x_{4} & +  0.78 x_{5} & -0.09 x_{22} & -0.05 x_{18} & -0.67 x_{13} & -0.04 x_{10} & +  0.13 x_{31}\\
\hline
z    &  129.023913072 & +  0.52 x_{29} & -19.91 x_{15} & -6.32 x_{7} & -15.08 x_{2} & -0.01 x_{32} & +  0.28 x_{30} & -3.96 x_{16} & -31.53 x_{12} & -0.13 x_{17} & -6.67 x_{4} & -19.03 x_{5} & -1.76 x_{22} & -1.80 x_{18} & -0.48 x_{13} & -19.00 x_{10} & +  0.98 x_{31}\\
\end{array}\]


 $ x_{29} $ enters and $ x_{1} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{26}   &  237.786871037 & -54.49 x_{1} & -33.29 x_{15} & + 10.59 x_{7} & + 11.33 x_{2} & +  2.88 x_{32} & +  0.12 x_{30} & + 17.18 x_{16} & -56.39 x_{12} & -1.13 x_{17} & -42.60 x_{4} & -25.21 x_{5} & -4.13 x_{22} & -3.74 x_{18} & + 19.62 x_{13} & -61.93 x_{10} & +  1.88 x_{31}\\
 x_{3}   &  7.7625376962 & -1.37 x_{1} & -1.62 x_{15} & +  0.46 x_{7} & +  0.33 x_{2} & +  0.15 x_{32} & +  0.03 x_{30} & +  0.79 x_{16} & -1.83 x_{12} & -0.01 x_{17} & -1.33 x_{4} & +  0.94 x_{5} & -0.14 x_{22} & -0.13 x_{18} & +  0.53 x_{13} & -1.55 x_{10} & +  0.13 x_{31}\\
 x_{24}   &  204.972199796 & -43.36 x_{1} & -29.70 x_{15} & + 25.78 x_{7} & +  7.55 x_{2} & +  3.05 x_{32} & +  0.30 x_{30} & + 20.27 x_{16} & -45.38 x_{12} & -1.46 x_{17} & -35.86 x_{4} & -9.72 x_{5} & -4.18 x_{22} & -3.30 x_{18} & +  4.34 x_{13} & -49.46 x_{10} & +  2.94 x_{31}\\
 x_{25}   &  341.725672595 & -27.29 x_{1} & -89.26 x_{15} & +  0.71 x_{7} & -25.17 x_{2} & +  1.86 x_{32} & +  0.32 x_{30} & -7.80 x_{16} & -85.41 x_{12} & +  0.08 x_{17} & -9.00 x_{4} & +  2.27 x_{5} & -5.75 x_{22} & -4.23 x_{18} & -12.19 x_{13} & -53.12 x_{10} & +  5.08 x_{31}\\
 x_{29}   &  99.7730510769 & -36.64 x_{1} & -40.23 x_{15} & + 15.01 x_{7} & + 10.20 x_{2} & +  2.64 x_{32} & -0.02 x_{30} & + 13.53 x_{16} & -22.97 x_{12} & +  0.32 x_{17} & -10.24 x_{4} & + 26.25 x_{5} & -2.80 x_{22} & -1.09 x_{18} & -5.41 x_{13} & -28.34 x_{10} & +  2.23 x_{31}\\
 x_{6}   &  11.5558200556 & -3.27 x_{1} & -2.11 x_{15} & +  1.92 x_{7} & +  1.40 x_{2} & +  0.21 x_{32} & -0.04 x_{30} & +  1.77 x_{16} & -2.73 x_{12} & -0.07 x_{17} & -2.34 x_{4} & -0.77 x_{5} & -0.25 x_{22} & -0.20 x_{18} & +  1.92 x_{13} & -3.47 x_{10} & +  0.11 x_{31}\\
 x_{23}   &  292.408508062 & -37.05 x_{1} & -100.98 x_{15} & -13.22 x_{7} & -37.57 x_{2} & +  3.85 x_{32} & +  1.24 x_{30} & + 10.65 x_{16} & -63.86 x_{12} & +  1.22 x_{17} & -4.37 x_{4} & + 53.95 x_{5} & -6.37 x_{22} & -2.83 x_{18} & -51.66 x_{13} & -23.59 x_{10} & +  6.99 x_{31}\\
 x_{20}   &  290.232374801 & -64.54 x_{1} & -56.15 x_{15} & + 33.20 x_{7} & +  5.05 x_{2} & +  3.33 x_{32} & -0.34 x_{30} & + 18.39 x_{16} & -66.08 x_{12} & -1.23 x_{17} & -43.65 x_{4} & -13.03 x_{5} & -5.30 x_{22} & -4.43 x_{18} & + 23.01 x_{13} & -69.54 x_{10} & +  3.06 x_{31}\\
 x_{8}   &  15.6954562724 & -1.81 x_{1} & -2.40 x_{15} & +  0.60 x_{7} & +  0.32 x_{2} & +  0.05 x_{32} & -0.01 x_{30} & -0.00 x_{16} & -3.40 x_{12} & -0.09 x_{17} & -1.67 x_{4} & -2.25 x_{5} & -0.20 x_{22} & -0.23 x_{18} & +  0.93 x_{13} & -2.82 x_{10} & +  0.09 x_{31}\\
 x_{9}   &  30.749376677 & -4.47 x_{1} & -8.08 x_{15} & +  0.85 x_{7} & -0.78 x_{2} & +  0.33 x_{32} & +  0.06 x_{30} & +  1.09 x_{16} & -7.87 x_{12} & -0.01 x_{17} & -2.65 x_{4} & +  0.80 x_{5} & -0.64 x_{22} & -0.38 x_{18} & -1.17 x_{13} & -5.61 x_{10} & +  0.46 x_{31}\\
 x_{27}   &  43.5104777622 & +  5.17 x_{1} & -27.01 x_{15} & -0.52 x_{7} & -28.11 x_{2} & +  1.00 x_{32} & +  0.47 x_{30} & +  0.19 x_{16} & -2.30 x_{12} & +  1.53 x_{17} & +  7.69 x_{4} & + 29.61 x_{5} & -1.18 x_{22} & +  0.07 x_{18} & -30.35 x_{13} & +  3.23 x_{10} & +  2.15 x_{31}\\
 x_{28}   &  247.159463824 & -10.26 x_{1} & -61.13 x_{15} & -14.28 x_{7} & -15.74 x_{2} & +  1.64 x_{32} & +  0.85 x_{30} & +  7.58 x_{16} & -60.47 x_{12} & +  0.86 x_{17} & -3.07 x_{4} & + 10.66 x_{5} & -4.52 x_{22} & -2.94 x_{18} & -12.50 x_{13} & -27.69 x_{10} & +  3.68 x_{31}\\
 x_{14}   &  14.9596799088 & -2.20 x_{1} & -3.87 x_{15} & +  0.35 x_{7} & -0.78 x_{2} & +  0.15 x_{32} & +  0.01 x_{30} & +  0.25 x_{16} & -3.47 x_{12} & -0.05 x_{17} & -0.82 x_{4} & +  0.69 x_{5} & -0.28 x_{22} & -0.19 x_{18} & -0.98 x_{13} & -1.92 x_{10} & +  0.28 x_{31}\\
 x_{21}   &  8.709798637 & + 16.70 x_{1} & +  1.47 x_{15} & -7.51 x_{7} & -12.41 x_{2} & -0.45 x_{32} & +  0.54 x_{30} & -8.46 x_{16} & +  1.57 x_{12} & +  0.54 x_{17} & +  1.63 x_{4} & +  5.52 x_{5} & -0.21 x_{22} & +  1.28 x_{18} & -18.69 x_{13} & +  4.26 x_{10} & +  0.26 x_{31}\\
 x_{19}   &  207.345433714 & -41.87 x_{1} & -30.25 x_{15} & + 21.10 x_{7} & + 15.26 x_{2} & +  1.73 x_{32} & -0.28 x_{30} & +  4.36 x_{16} & -36.50 x_{12} & -1.06 x_{17} & -27.96 x_{4} & -21.29 x_{5} & -3.16 x_{22} & -2.14 x_{18} & +  8.60 x_{13} & -37.61 x_{10} & +  0.75 x_{31}\\
 x_{11}   &  5.30762472396 & -0.39 x_{1} & -2.61 x_{15} & -0.15 x_{7} & -1.16 x_{2} & +  0.06 x_{32} & -0.02 x_{30} & +  0.52 x_{16} & -0.93 x_{12} & +  0.07 x_{17} & +  0.79 x_{4} & +  1.06 x_{5} & -0.12 x_{22} & -0.06 x_{18} & -0.73 x_{13} & -0.34 x_{10} & +  0.16 x_{31}\\
\hline
z    &  180.721754565 & -18.98 x_{1} & -40.76 x_{15} & +  1.46 x_{7} & -9.79 x_{2} & +  1.36 x_{32} & +  0.27 x_{30} & +  3.05 x_{16} & -43.43 x_{12} & +  0.04 x_{17} & -11.97 x_{4} & -5.43 x_{5} & -3.21 x_{22} & -2.36 x_{18} & -3.28 x_{13} & -33.68 x_{10} & +  2.13 x_{31}\\
\end{array}\]


 $ x_{7} $ enters and $ x_{21} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{26}   &  250.074159099 & -30.93 x_{1} & -31.21 x_{15} & -1.41 x_{21} & -6.17 x_{2} & +  2.24 x_{32} & +  0.87 x_{30} & +  5.24 x_{16} & -54.17 x_{12} & -0.37 x_{17} & -40.31 x_{4} & -17.43 x_{5} & -4.42 x_{22} & -1.94 x_{18} & -6.75 x_{13} & -55.93 x_{10} & +  2.25 x_{31}\\
 x_{3}   &  8.29775340854 & -0.35 x_{1} & -1.53 x_{15} & -0.06 x_{21} & -0.43 x_{2} & +  0.12 x_{32} & +  0.06 x_{30} & +  0.27 x_{16} & -1.73 x_{12} & +  0.02 x_{17} & -1.23 x_{4} & +  1.28 x_{5} & -0.15 x_{22} & -0.05 x_{18} & -0.62 x_{13} & -1.29 x_{10} & +  0.15 x_{31}\\
 x_{24}   &  234.875942997 & + 13.97 x_{1} & -24.64 x_{15} & -3.43 x_{21} & -35.04 x_{2} & +  1.50 x_{32} & +  2.14 x_{30} & -8.77 x_{16} & -39.98 x_{12} & +  0.39 x_{17} & -30.28 x_{4} & +  9.23 x_{5} & -4.89 x_{22} & +  1.08 x_{18} & -59.84 x_{13} & -34.85 x_{10} & +  3.85 x_{31}\\
 x_{25}   &  342.551324405 & -25.70 x_{1} & -89.12 x_{15} & -0.09 x_{21} & -26.35 x_{2} & +  1.81 x_{32} & +  0.38 x_{30} & -8.60 x_{16} & -85.26 x_{12} & +  0.13 x_{17} & -8.84 x_{4} & +  2.79 x_{5} & -5.77 x_{22} & -4.11 x_{18} & -13.97 x_{13} & -52.71 x_{10} & +  5.10 x_{31}\\
 x_{29}   &  117.180640372 & -3.26 x_{1} & -37.29 x_{15} & -2.00 x_{21} & -14.59 x_{2} & +  1.74 x_{32} & +  1.05 x_{30} & -3.38 x_{16} & -19.82 x_{12} & +  1.40 x_{17} & -6.99 x_{4} & + 37.28 x_{5} & -3.21 x_{22} & +  1.46 x_{18} & -42.77 x_{13} & -19.83 x_{10} & +  2.76 x_{31}\\
 x_{6}   &  13.7883607922 & +  1.01 x_{1} & -1.73 x_{15} & -0.26 x_{21} & -1.78 x_{2} & +  0.09 x_{32} & +  0.10 x_{30} & -0.40 x_{16} & -2.32 x_{12} & +  0.07 x_{17} & -1.93 x_{4} & +  0.65 x_{5} & -0.30 x_{22} & +  0.13 x_{18} & -2.87 x_{13} & -2.38 x_{10} & +  0.18 x_{31}\\
 x_{23}   &  277.080695156 & -66.44 x_{1} & -103.58 x_{15} & +  1.76 x_{21} & -15.74 x_{2} & +  4.64 x_{32} & +  0.30 x_{30} & + 25.54 x_{16} & -66.63 x_{12} & +  0.27 x_{17} & -7.23 x_{4} & + 44.24 x_{5} & -6.00 x_{22} & -5.08 x_{18} & -18.76 x_{13} & -31.08 x_{10} & +  6.53 x_{31}\\
 x_{20}   &  328.74292619 & +  9.29 x_{1} & -49.64 x_{15} & -4.42 x_{21} & -49.80 x_{2} & +  1.34 x_{32} & +  2.04 x_{30} & -19.01 x_{16} & -59.12 x_{12} & +  1.15 x_{17} & -36.46 x_{4} & + 11.37 x_{5} & -6.21 x_{22} & +  1.21 x_{18} & -59.64 x_{13} & -50.72 x_{10} & +  4.23 x_{31}\\
 x_{8}   &  16.3968282578 & -0.46 x_{1} & -2.28 x_{15} & -0.08 x_{21} & -0.68 x_{2} & +  0.01 x_{32} & +  0.03 x_{30} & -0.68 x_{16} & -3.27 x_{12} & -0.04 x_{17} & -1.54 x_{4} & -1.80 x_{5} & -0.22 x_{22} & -0.13 x_{18} & -0.57 x_{13} & -2.48 x_{10} & +  0.11 x_{31}\\
 x_{9}   &  31.7306295816 & -2.59 x_{1} & -7.91 x_{15} & -0.11 x_{21} & -2.18 x_{2} & +  0.28 x_{32} & +  0.12 x_{30} & +  0.14 x_{16} & -7.69 x_{12} & +  0.05 x_{17} & -2.47 x_{4} & +  1.42 x_{5} & -0.66 x_{22} & -0.24 x_{18} & -3.28 x_{13} & -5.13 x_{10} & +  0.49 x_{31}\\
 x_{27}   &  42.9087086546 & +  4.01 x_{1} & -27.12 x_{15} & +  0.07 x_{21} & -27.25 x_{2} & +  1.03 x_{32} & +  0.43 x_{30} & +  0.78 x_{16} & -2.41 x_{12} & +  1.50 x_{17} & +  7.58 x_{4} & + 29.23 x_{5} & -1.17 x_{22} & -0.02 x_{18} & -29.05 x_{13} & +  2.94 x_{10} & +  2.13 x_{31}\\
 x_{28}   &  230.597693408 & -42.01 x_{1} & -63.93 x_{15} & +  1.90 x_{21} & +  7.85 x_{2} & +  2.50 x_{32} & -0.17 x_{30} & + 23.67 x_{16} & -63.46 x_{12} & -0.16 x_{17} & -6.16 x_{4} & +  0.17 x_{5} & -4.12 x_{22} & -5.37 x_{18} & + 23.05 x_{13} & -35.78 x_{10} & +  3.18 x_{31}\\
 x_{14}   &  15.3703472695 & -1.41 x_{1} & -3.81 x_{15} & -0.05 x_{21} & -1.37 x_{2} & +  0.13 x_{32} & +  0.04 x_{30} & -0.15 x_{16} & -3.40 x_{12} & -0.02 x_{17} & -0.74 x_{4} & +  0.95 x_{5} & -0.29 x_{22} & -0.13 x_{18} & -1.86 x_{13} & -1.72 x_{10} & +  0.29 x_{31}\\
 x_{7}   &  1.15984404534 & +  2.22 x_{1} & +  0.20 x_{15} & -0.13 x_{21} & -1.65 x_{2} & -0.06 x_{32} & +  0.07 x_{30} & -1.13 x_{16} & +  0.21 x_{12} & +  0.07 x_{17} & +  0.22 x_{4} & +  0.73 x_{5} & -0.03 x_{22} & +  0.17 x_{18} & -2.49 x_{13} & +  0.57 x_{10} & +  0.04 x_{31}\\
 x_{19}   &  231.81383149 & +  5.04 x_{1} & -26.12 x_{15} & -2.81 x_{21} & -19.59 x_{2} & +  0.47 x_{32} & +  1.22 x_{30} & -19.41 x_{16} & -32.08 x_{12} & +  0.45 x_{17} & -23.40 x_{4} & -5.79 x_{5} & -3.74 x_{22} & +  1.44 x_{18} & -43.91 x_{13} & -25.66 x_{10} & +  1.50 x_{31}\\
 x_{11}   &  5.13276542056 & -0.72 x_{1} & -2.64 x_{15} & +  0.02 x_{21} & -0.91 x_{2} & +  0.07 x_{32} & -0.03 x_{30} & +  0.69 x_{16} & -0.96 x_{12} & +  0.06 x_{17} & +  0.76 x_{4} & +  0.95 x_{5} & -0.12 x_{22} & -0.09 x_{18} & -0.35 x_{13} & -0.43 x_{10} & +  0.15 x_{31}\\
\hline
z    &  182.413137568 & -15.74 x_{1} & -40.47 x_{15} & -0.19 x_{21} & -12.20 x_{2} & +  1.27 x_{32} & +  0.37 x_{30} & +  1.41 x_{16} & -43.12 x_{12} & +  0.14 x_{17} & -11.65 x_{4} & -4.36 x_{5} & -3.25 x_{22} & -2.11 x_{18} & -6.91 x_{13} & -32.85 x_{10} & +  2.18 x_{31}\\
\end{array}\]


 $ x_{16} $ enters and $ x_{7} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{26}   &  255.472663623 & -20.58 x_{1} & -30.30 x_{15} & -2.03 x_{21} & -13.86 x_{2} & +  1.96 x_{32} & +  1.21 x_{30} & -4.65 x_{7} & -53.20 x_{12} & -0.03 x_{17} & -39.30 x_{4} & -14.01 x_{5} & -4.55 x_{22} & -1.15 x_{18} & -18.34 x_{13} & -53.29 x_{10} & +  2.42 x_{31}\\
 x_{3}   &  8.58010615142 & +  0.20 x_{1} & -1.48 x_{15} & -0.09 x_{21} & -0.84 x_{2} & +  0.11 x_{32} & +  0.08 x_{30} & -0.24 x_{7} & -1.68 x_{12} & +  0.04 x_{17} & -1.18 x_{4} & +  1.46 x_{5} & -0.16 x_{22} & -0.01 x_{18} & -1.23 x_{13} & -1.15 x_{10} & +  0.16 x_{31}\\
 x_{24}   &  225.842863197 & -3.35 x_{1} & -26.17 x_{15} & -2.40 x_{21} & -22.17 x_{2} & +  1.97 x_{32} & +  1.58 x_{30} & +  7.79 x_{7} & -41.61 x_{12} & -0.17 x_{17} & -31.96 x_{4} & +  3.51 x_{5} & -4.67 x_{22} & -0.25 x_{18} & -40.45 x_{13} & -39.26 x_{10} & +  3.58 x_{31}\\
 x_{25}   &  333.700515881 & -42.67 x_{1} & -90.62 x_{15} & +  0.92 x_{21} & -13.74 x_{2} & +  2.27 x_{32} & -0.17 x_{30} & +  7.63 x_{7} & -86.86 x_{12} & -0.42 x_{17} & -10.49 x_{4} & -2.82 x_{5} & -5.56 x_{22} & -5.41 x_{18} & +  5.03 x_{13} & -57.04 x_{10} & +  4.83 x_{31}\\
 x_{29}   &  113.697273379 & -9.94 x_{1} & -37.88 x_{15} & -1.60 x_{21} & -9.63 x_{2} & +  1.92 x_{32} & +  0.83 x_{30} & +  3.00 x_{7} & -20.45 x_{12} & +  1.18 x_{17} & -7.64 x_{4} & + 35.07 x_{5} & -3.13 x_{22} & +  0.95 x_{18} & -35.30 x_{13} & -21.53 x_{10} & +  2.65 x_{31}\\
 x_{6}   &  13.3792787205 & +  0.23 x_{1} & -1.80 x_{15} & -0.21 x_{21} & -1.20 x_{2} & +  0.11 x_{32} & +  0.07 x_{30} & +  0.35 x_{7} & -2.40 x_{12} & +  0.05 x_{17} & -2.00 x_{4} & +  0.39 x_{5} & -0.29 x_{22} & +  0.07 x_{18} & -1.99 x_{13} & -2.58 x_{10} & +  0.17 x_{31}\\
 x_{23}   &  303.377593265 & -16.02 x_{1} & -99.13 x_{15} & -1.26 x_{21} & -53.19 x_{2} & +  3.28 x_{32} & +  1.92 x_{30} & -22.67 x_{7} & -61.88 x_{12} & +  1.90 x_{17} & -2.33 x_{4} & + 60.90 x_{5} & -6.63 x_{22} & -1.23 x_{18} & -75.20 x_{13} & -18.23 x_{10} & +  7.32 x_{31}\\
 x_{20}   &  309.169864729 & -28.23 x_{1} & -52.95 x_{15} & -2.17 x_{21} & -21.92 x_{2} & +  2.35 x_{32} & +  0.83 x_{30} & + 16.88 x_{7} & -62.65 x_{12} & -0.06 x_{17} & -40.11 x_{4} & -1.03 x_{5} & -5.75 x_{22} & -1.66 x_{18} & -17.63 x_{13} & -60.29 x_{10} & +  3.63 x_{31}\\
 x_{8}   &  15.6942217363 & -1.81 x_{1} & -2.40 x_{15} & +  0.00 x_{21} & +  0.32 x_{2} & +  0.05 x_{32} & -0.01 x_{30} & +  0.61 x_{7} & -3.40 x_{12} & -0.09 x_{17} & -1.67 x_{4} & -2.25 x_{5} & -0.20 x_{22} & -0.23 x_{18} & +  0.93 x_{13} & -2.82 x_{10} & +  0.09 x_{31}\\
 x_{9}   &  31.8705798893 & -2.32 x_{1} & -7.89 x_{15} & -0.13 x_{21} & -2.38 x_{2} & +  0.27 x_{32} & +  0.13 x_{30} & -0.12 x_{7} & -7.66 x_{12} & +  0.06 x_{17} & -2.45 x_{4} & +  1.51 x_{5} & -0.67 x_{22} & -0.22 x_{18} & -3.58 x_{13} & -5.06 x_{10} & +  0.50 x_{31}\\
 x_{27}   &  43.7094336392 & +  5.55 x_{1} & -26.98 x_{15} & -0.02 x_{21} & -28.40 x_{2} & +  0.99 x_{32} & +  0.48 x_{30} & -0.69 x_{7} & -2.27 x_{12} & +  1.54 x_{17} & +  7.72 x_{4} & + 29.74 x_{5} & -1.19 x_{22} & +  0.10 x_{18} & -30.77 x_{13} & +  3.33 x_{10} & +  2.15 x_{31}\\
 x_{28}   &  254.968063354 & +  4.71 x_{1} & -59.81 x_{15} & -0.90 x_{21} & -26.86 x_{2} & +  1.24 x_{32} & +  1.33 x_{30} & -21.01 x_{7} & -59.06 x_{12} & +  1.35 x_{17} & -1.61 x_{4} & + 15.61 x_{5} & -4.70 x_{22} & -1.80 x_{18} & -29.26 x_{13} & -23.87 x_{10} & +  3.92 x_{31}\\
 x_{14}   &  15.2142388014 & -1.71 x_{1} & -3.83 x_{15} & -0.03 x_{21} & -1.14 x_{2} & +  0.13 x_{32} & +  0.03 x_{30} & +  0.13 x_{7} & -3.43 x_{12} & -0.03 x_{17} & -0.77 x_{4} & +  0.86 x_{5} & -0.29 x_{22} & -0.15 x_{18} & -1.52 x_{13} & -1.80 x_{10} & +  0.29 x_{31}\\
 x_{16}   &  1.02950529564 & +  1.97 x_{1} & +  0.17 x_{15} & -0.12 x_{21} & -1.47 x_{2} & -0.05 x_{32} & +  0.06 x_{30} & -0.89 x_{7} & +  0.19 x_{12} & +  0.06 x_{17} & +  0.19 x_{4} & +  0.65 x_{5} & -0.02 x_{22} & +  0.15 x_{18} & -2.21 x_{13} & +  0.50 x_{10} & +  0.03 x_{31}\\
 x_{19}   &  211.832238933 & -33.27 x_{1} & -29.50 x_{15} & -0.52 x_{21} & +  8.87 x_{2} & +  1.50 x_{32} & -0.01 x_{30} & + 17.23 x_{7} & -35.69 x_{12} & -0.78 x_{17} & -27.13 x_{4} & -18.45 x_{5} & -3.27 x_{22} & -1.48 x_{18} & -1.03 x_{13} & -35.42 x_{10} & +  0.89 x_{31}\\
 x_{11}   &  5.84099319783 & +  0.63 x_{1} & -2.52 x_{15} & -0.06 x_{21} & -1.92 x_{2} & +  0.03 x_{32} & +  0.02 x_{30} & -0.61 x_{7} & -0.83 x_{12} & +  0.10 x_{17} & +  0.89 x_{4} & +  1.40 x_{5} & -0.13 x_{22} & +  0.02 x_{18} & -1.87 x_{13} & -0.08 x_{10} & +  0.17 x_{31}\\
\hline
z    &  183.862182083 & -12.96 x_{1} & -40.22 x_{15} & -0.36 x_{21} & -14.26 x_{2} & +  1.19 x_{32} & +  0.46 x_{30} & -1.25 x_{7} & -42.86 x_{12} & +  0.23 x_{17} & -11.38 x_{4} & -3.44 x_{5} & -3.28 x_{22} & -1.90 x_{18} & -10.02 x_{13} & -32.15 x_{10} & +  2.23 x_{31}\\
\end{array}\]


 $ x_{17} $ enters and $ x_{8} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{26}   &  249.708857085 & -19.92 x_{1} & -29.42 x_{15} & -2.03 x_{21} & -13.98 x_{2} & +  1.94 x_{32} & +  1.21 x_{30} & -4.88 x_{7} & -51.95 x_{12} & +  0.37 x_{8} & -38.69 x_{4} & -13.18 x_{5} & -4.48 x_{22} & -1.06 x_{18} & -18.68 x_{13} & -52.26 x_{10} & +  2.39 x_{31}\\
 x_{3}   &  15.6660108849 & -0.62 x_{1} & -2.57 x_{15} & -0.09 x_{21} & -0.69 x_{2} & +  0.13 x_{32} & +  0.07 x_{30} & +  0.03 x_{7} & -3.21 x_{12} & -0.45 x_{8} & -1.94 x_{4} & +  0.44 x_{5} & -0.25 x_{22} & -0.11 x_{18} & -0.81 x_{13} & -2.42 x_{10} & +  0.20 x_{31}\\
 x_{24}   &  195.648079016 & +  0.14 x_{1} & -21.55 x_{15} & -2.40 x_{21} & -22.79 x_{2} & +  1.88 x_{32} & +  1.61 x_{30} & +  6.62 x_{7} & -35.07 x_{12} & +  1.92 x_{8} & -28.75 x_{4} & +  7.83 x_{5} & -4.29 x_{22} & +  0.20 x_{18} & -42.25 x_{13} & -33.83 x_{10} & +  3.41 x_{31}\\
 x_{25}   &  258.799629107 & -34.03 x_{1} & -79.17 x_{15} & +  0.92 x_{21} & -15.27 x_{2} & +  2.05 x_{32} & -0.11 x_{30} & +  4.74 x_{7} & -70.62 x_{12} & +  4.77 x_{8} & -2.51 x_{4} & +  7.91 x_{5} & -4.61 x_{22} & -4.31 x_{18} & +  0.58 x_{13} & -43.56 x_{10} & +  4.43 x_{31}\\
 x_{29}   &  326.956976416 & -34.55 x_{1} & -70.47 x_{15} & -1.60 x_{21} & -5.27 x_{2} & +  2.56 x_{32} & +  0.68 x_{30} & + 11.23 x_{7} & -66.67 x_{12} & -13.59 x_{8} & -30.37 x_{4} & +  4.51 x_{5} & -5.83 x_{22} & -2.19 x_{18} & -22.62 x_{13} & -59.91 x_{10} & +  3.81 x_{31}\\
 x_{6}   &  21.8794033461 & -0.75 x_{1} & -3.10 x_{15} & -0.21 x_{21} & -1.03 x_{2} & +  0.14 x_{32} & +  0.07 x_{30} & +  0.68 x_{7} & -4.24 x_{12} & -0.54 x_{8} & -2.91 x_{4} & -0.83 x_{5} & -0.40 x_{22} & -0.05 x_{18} & -1.48 x_{13} & -4.11 x_{10} & +  0.21 x_{31}\\
 x_{23}   &  645.825954445 & -55.54 x_{1} & -151.47 x_{15} & -1.26 x_{21} & -46.19 x_{2} & +  4.30 x_{32} & +  1.67 x_{30} & -9.45 x_{7} & -136.10 x_{12} & -21.82 x_{8} & -38.83 x_{4} & + 11.83 x_{5} & -10.96 x_{22} & -6.26 x_{18} & -54.84 x_{13} & -79.86 x_{10} & +  9.18 x_{31}\\
 x_{20}   &  298.769223947 & -27.03 x_{1} & -51.36 x_{15} & -2.17 x_{21} & -22.14 x_{2} & +  2.32 x_{32} & +  0.84 x_{30} & + 16.47 x_{7} & -60.40 x_{12} & +  0.66 x_{8} & -39.00 x_{4} & +  0.46 x_{5} & -5.62 x_{22} & -1.51 x_{18} & -18.25 x_{13} & -58.41 x_{10} & +  3.58 x_{31}\\
 x_{17}   &  180.337585164 & -20.81 x_{1} & -27.56 x_{15} & +  0.00 x_{21} & +  3.69 x_{2} & +  0.54 x_{32} & -0.13 x_{30} & +  6.96 x_{7} & -39.08 x_{12} & -11.49 x_{8} & -19.22 x_{4} & -25.84 x_{5} & -2.29 x_{22} & -2.65 x_{18} & + 10.72 x_{13} & -32.45 x_{10} & +  0.98 x_{31}\\
 x_{9}   &  43.1262568031 & -3.62 x_{1} & -9.61 x_{15} & -0.13 x_{21} & -2.15 x_{2} & +  0.31 x_{32} & +  0.12 x_{30} & +  0.31 x_{7} & -10.10 x_{12} & -0.72 x_{8} & -3.65 x_{4} & -0.10 x_{5} & -0.81 x_{22} & -0.39 x_{18} & -2.91 x_{13} & -7.09 x_{10} & +  0.56 x_{31}\\
 x_{27}   &  322.316573272 & -26.60 x_{1} & -69.56 x_{15} & -0.02 x_{21} & -22.70 x_{2} & +  1.82 x_{32} & +  0.27 x_{30} & + 10.06 x_{7} & -62.65 x_{12} & -17.75 x_{8} & -21.97 x_{4} & -10.18 x_{5} & -4.72 x_{22} & -3.99 x_{18} & -14.21 x_{13} & -46.81 x_{10} & +  3.67 x_{31}\\
 x_{28}   &  497.965611772 & -23.33 x_{1} & -96.95 x_{15} & -0.89 x_{21} & -21.89 x_{2} & +  1.96 x_{32} & +  1.16 x_{30} & -11.63 x_{7} & -111.72 x_{12} & -15.48 x_{8} & -27.51 x_{4} & -19.21 x_{5} & -7.78 x_{22} & -5.37 x_{18} & -14.81 x_{13} & -67.60 x_{10} & +  5.24 x_{31}\\
 x_{14}   &  9.71895182423 & -1.08 x_{1} & -2.99 x_{15} & -0.03 x_{21} & -1.26 x_{2} & +  0.12 x_{32} & +  0.03 x_{30} & -0.08 x_{7} & -2.24 x_{12} & +  0.35 x_{8} & -0.19 x_{4} & +  1.64 x_{5} & -0.22 x_{22} & -0.07 x_{18} & -1.85 x_{13} & -0.81 x_{10} & +  0.26 x_{31}\\
 x_{16}   &  12.5068816771 & +  0.65 x_{1} & -1.58 x_{15} & -0.12 x_{21} & -1.23 x_{2} & -0.02 x_{32} & +  0.05 x_{30} & -0.44 x_{7} & -2.30 x_{12} & -0.73 x_{8} & -1.03 x_{4} & -0.99 x_{5} & -0.17 x_{22} & -0.02 x_{18} & -1.53 x_{13} & -1.56 x_{10} & +  0.09 x_{31}\\
 x_{19}   &  70.5990485789 & -16.97 x_{1} & -7.91 x_{15} & -0.52 x_{21} & +  5.98 x_{2} & +  1.08 x_{32} & +  0.10 x_{30} & + 11.78 x_{7} & -5.09 x_{12} & +  9.00 x_{8} & -12.07 x_{4} & +  1.79 x_{5} & -1.48 x_{22} & +  0.59 x_{18} & -9.42 x_{13} & -10.00 x_{10} & +  0.12 x_{31}\\
 x_{11}   &  24.5996532957 & -1.53 x_{1} & -5.39 x_{15} & -0.06 x_{21} & -1.53 x_{2} & +  0.09 x_{32} & +  0.00 x_{30} & +  0.11 x_{7} & -4.90 x_{12} & -1.20 x_{8} & -1.11 x_{4} & -1.29 x_{5} & -0.37 x_{22} & -0.26 x_{18} & -0.76 x_{13} & -3.46 x_{10} & +  0.27 x_{31}\\
\hline
z    &  225.620770006 & -17.78 x_{1} & -46.61 x_{15} & -0.36 x_{21} & -13.41 x_{2} & +  1.32 x_{32} & +  0.43 x_{30} & +  0.36 x_{7} & -51.91 x_{12} & -2.66 x_{8} & -15.83 x_{4} & -9.43 x_{5} & -3.81 x_{22} & -2.52 x_{18} & -7.54 x_{13} & -39.66 x_{10} & +  2.45 x_{31}\\
\end{array}\]


 $ x_{7} $ enters and $ x_{16} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{26}   &  112.519866529 & -27.04 x_{1} & -12.09 x_{15} & -0.74 x_{21} & -0.47 x_{2} & +  2.15 x_{32} & +  0.61 x_{30} & + 10.97 x_{16} & -26.70 x_{12} & +  8.39 x_{8} & -27.38 x_{4} & -2.30 x_{5} & -2.61 x_{22} & -0.87 x_{18} & -1.93 x_{13} & -35.12 x_{10} & +  1.36 x_{31}\\
 x_{3}   &  16.5117784669 & -0.58 x_{1} & -2.67 x_{15} & -0.10 x_{21} & -0.77 x_{2} & +  0.13 x_{32} & +  0.08 x_{30} & -0.07 x_{16} & -3.37 x_{12} & -0.50 x_{8} & -2.01 x_{4} & +  0.37 x_{5} & -0.26 x_{22} & -0.11 x_{18} & -0.91 x_{13} & -2.53 x_{10} & +  0.20 x_{31}\\
 x_{24}   &  381.94398201 & +  9.81 x_{1} & -45.09 x_{15} & -4.16 x_{21} & -41.14 x_{2} & +  1.59 x_{32} & +  2.43 x_{30} & -14.90 x_{16} & -69.35 x_{12} & -8.97 x_{8} & -44.11 x_{4} & -6.95 x_{5} & -6.82 x_{22} & -0.07 x_{18} & -64.99 x_{13} & -57.10 x_{10} & +  4.80 x_{31}\\
 x_{25}   &  392.134015197 & -27.11 x_{1} & -96.02 x_{15} & -0.34 x_{21} & -28.40 x_{2} & +  1.84 x_{32} & +  0.47 x_{30} & -10.66 x_{16} & -95.16 x_{12} & -3.02 x_{8} & -13.50 x_{4} & -2.66 x_{5} & -6.42 x_{22} & -4.50 x_{18} & -15.70 x_{13} & -60.22 x_{10} & +  5.42 x_{31}\\
 x_{29}   &  642.992129554 & -18.15 x_{1} & -110.40 x_{15} & -4.58 x_{21} & -36.39 x_{2} & +  2.07 x_{32} & +  2.07 x_{30} & -25.27 x_{16} & -124.82 x_{12} & -32.07 x_{8} & -56.43 x_{4} & -20.56 x_{5} & -10.12 x_{22} & -2.64 x_{18} & -61.21 x_{13} & -99.40 x_{10} & +  6.17 x_{31}\\
 x_{6}   &  41.0301760876 & +  0.24 x_{1} & -5.52 x_{15} & -0.39 x_{21} & -2.91 x_{2} & +  0.11 x_{32} & +  0.15 x_{30} & -1.53 x_{16} & -7.76 x_{12} & -1.66 x_{8} & -4.49 x_{4} & -2.35 x_{5} & -0.66 x_{22} & -0.08 x_{18} & -3.82 x_{13} & -6.50 x_{10} & +  0.35 x_{31}\\
 x_{23}   &  379.865730918 & -69.35 x_{1} & -117.87 x_{15} & +  1.26 x_{21} & -20.00 x_{2} & +  4.71 x_{32} & +  0.50 x_{30} & + 21.27 x_{16} & -87.16 x_{12} & -6.27 x_{8} & -16.90 x_{4} & + 32.94 x_{5} & -7.35 x_{22} & -5.88 x_{18} & -22.37 x_{13} & -46.63 x_{10} & +  7.19 x_{31}\\
 x_{20}   &  762.184991749 & -2.98 x_{1} & -109.91 x_{15} & -6.55 x_{21} & -67.78 x_{2} & +  1.62 x_{32} & +  2.88 x_{30} & -37.05 x_{16} & -145.68 x_{12} & -26.43 x_{8} & -77.22 x_{4} & -36.31 x_{5} & -11.91 x_{22} & -2.17 x_{18} & -74.84 x_{13} & -116.31 x_{10} & +  7.04 x_{31}\\
 x_{17}   &  376.144007399 & -10.65 x_{1} & -52.30 x_{15} & -1.85 x_{21} & -15.60 x_{2} & +  0.24 x_{32} & +  0.73 x_{30} & -15.66 x_{16} & -75.12 x_{12} & -22.94 x_{8} & -35.37 x_{4} & -41.38 x_{5} & -4.94 x_{22} & -2.93 x_{18} & -13.19 x_{13} & -56.92 x_{10} & +  2.44 x_{31}\\
 x_{9}   &  51.9531762871 & -3.17 x_{1} & -10.72 x_{15} & -0.21 x_{21} & -3.02 x_{2} & +  0.29 x_{32} & +  0.16 x_{30} & -0.71 x_{16} & -11.73 x_{12} & -1.23 x_{8} & -4.37 x_{4} & -0.80 x_{5} & -0.93 x_{22} & -0.40 x_{18} & -3.99 x_{13} & -8.19 x_{10} & +  0.62 x_{31}\\
 x_{27}   &  605.401719167 & -11.91 x_{1} & -105.33 x_{15} & -2.69 x_{21} & -50.58 x_{2} & +  1.38 x_{32} & +  1.52 x_{30} & -22.63 x_{16} & -114.74 x_{12} & -34.30 x_{8} & -45.31 x_{4} & -32.64 x_{5} & -8.56 x_{22} & -4.40 x_{18} & -48.78 x_{13} & -82.18 x_{10} & +  5.78 x_{31}\\
 x_{28}   &  170.748363346 & -40.32 x_{1} & -55.61 x_{15} & +  2.20 x_{21} & + 10.33 x_{2} & +  2.46 x_{32} & -0.28 x_{30} & + 26.16 x_{16} & -51.51 x_{12} & +  3.65 x_{8} & -0.53 x_{4} & +  6.75 x_{5} & -3.34 x_{22} & -4.90 x_{18} & + 25.15 x_{13} & -26.72 x_{10} & +  2.79 x_{31}\\
 x_{14}   &  7.53841829425 & -1.19 x_{1} & -2.72 x_{15} & -0.01 x_{21} & -1.04 x_{2} & +  0.12 x_{32} & +  0.02 x_{30} & +  0.17 x_{16} & -1.83 x_{12} & +  0.48 x_{8} & -0.01 x_{4} & +  1.82 x_{5} & -0.19 x_{22} & -0.07 x_{18} & -1.58 x_{13} & -0.54 x_{10} & +  0.24 x_{31}\\
 x_{7}   &  28.1298804925 & +  1.46 x_{1} & -3.55 x_{15} & -0.27 x_{21} & -2.77 x_{2} & -0.04 x_{32} & +  0.12 x_{30} & -2.25 x_{16} & -5.18 x_{12} & -1.64 x_{8} & -2.32 x_{4} & -2.23 x_{5} & -0.38 x_{22} & -0.04 x_{18} & -3.43 x_{13} & -3.51 x_{10} & +  0.21 x_{31}\\
 x_{19}   &  401.867997751 & +  0.23 x_{1} & -49.76 x_{15} & -3.64 x_{21} & -26.64 x_{2} & +  0.57 x_{32} & +  1.55 x_{30} & -26.49 x_{16} & -66.04 x_{12} & -10.37 x_{8} & -39.39 x_{4} & -24.49 x_{5} & -5.98 x_{22} & +  0.12 x_{18} & -49.87 x_{13} & -51.39 x_{10} & +  2.60 x_{31}\\
 x_{11}   &  27.7906171228 & -1.37 x_{1} & -5.79 x_{15} & -0.09 x_{21} & -1.85 x_{2} & +  0.08 x_{32} & +  0.02 x_{30} & -0.26 x_{16} & -5.48 x_{12} & -1.38 x_{8} & -1.37 x_{4} & -1.54 x_{5} & -0.41 x_{22} & -0.26 x_{18} & -1.15 x_{13} & -3.86 x_{10} & +  0.30 x_{31}\\
\hline
z    &  235.817383893 & -17.25 x_{1} & -47.89 x_{15} & -0.46 x_{21} & -14.41 x_{2} & +  1.30 x_{32} & +  0.48 x_{30} & -0.82 x_{16} & -53.79 x_{12} & -3.26 x_{8} & -16.68 x_{4} & -10.24 x_{5} & -3.95 x_{22} & -2.53 x_{18} & -8.78 x_{13} & -40.94 x_{10} & +  2.53 x_{31}\\
\end{array}\]


 $ x_{30} $ enters and $ x_{28} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{26}   &  478.168895144 & -113.38 x_{1} & -131.17 x_{15} & +  3.97 x_{21} & + 21.66 x_{2} & +  7.42 x_{32} & -2.14 x_{28} & + 67.00 x_{16} & -137.00 x_{12} & + 16.21 x_{8} & -28.51 x_{4} & + 12.17 x_{5} & -9.76 x_{22} & -11.37 x_{18} & + 51.92 x_{13} & -92.34 x_{10} & +  7.33 x_{31}\\
 x_{3}   &  62.2930074851 & -11.39 x_{1} & -17.58 x_{15} & +  0.49 x_{21} & +  2.00 x_{2} & +  0.79 x_{32} & -0.27 x_{28} & +  6.95 x_{16} & -17.18 x_{12} & +  0.48 x_{8} & -2.15 x_{4} & +  2.18 x_{5} & -1.15 x_{22} & -1.43 x_{18} & +  5.83 x_{13} & -9.69 x_{10} & +  0.95 x_{31}\\
 x_{24}   &  1842.85784659 & -335.14 x_{1} & -520.87 x_{15} & + 14.63 x_{21} & + 47.28 x_{2} & + 22.65 x_{32} & -8.56 x_{28} & + 208.95 x_{16} & -510.04 x_{12} & + 22.26 x_{8} & -48.65 x_{4} & + 50.84 x_{5} & -35.38 x_{22} & -42.02 x_{18} & + 150.17 x_{13} & -285.73 x_{10} & + 28.68 x_{31}\\
 x_{25}   &  676.073763675 & -94.15 x_{1} & -188.49 x_{15} & +  3.31 x_{21} & -11.22 x_{2} & +  5.94 x_{32} & -1.66 x_{28} & + 32.85 x_{16} & -180.81 x_{12} & +  3.05 x_{8} & -14.39 x_{4} & +  8.57 x_{5} & -11.97 x_{22} & -12.65 x_{18} & + 26.12 x_{13} & -104.65 x_{10} & + 10.06 x_{31}\\
 x_{29}   &  1887.61672318 & -312.03 x_{1} & -515.74 x_{15} & + 11.42 x_{21} & + 38.93 x_{2} & + 20.01 x_{32} & -7.29 x_{28} & + 165.44 x_{16} & -500.27 x_{12} & -5.46 x_{8} & -60.30 x_{4} & + 28.67 x_{5} & -34.45 x_{22} & -38.38 x_{18} & + 122.10 x_{13} & -294.18 x_{10} & + 26.51 x_{31}\\
 x_{6}   &  132.352312712 & -21.32 x_{1} & -35.26 x_{15} & +  0.78 x_{21} & +  2.61 x_{2} & +  1.43 x_{32} & -0.53 x_{28} & + 12.46 x_{16} & -35.31 x_{12} & +  0.29 x_{8} & -4.77 x_{4} & +  1.26 x_{5} & -2.45 x_{22} & -2.70 x_{18} & +  9.63 x_{13} & -20.79 x_{10} & +  1.85 x_{31}\\
 x_{23}   &  680.147335423 & -140.25 x_{1} & -215.66 x_{15} & +  5.12 x_{21} & -1.82 x_{2} & +  9.03 x_{32} & -1.76 x_{28} & + 67.28 x_{16} & -177.74 x_{12} & +  0.15 x_{8} & -17.83 x_{4} & + 44.82 x_{5} & -13.22 x_{22} & -14.50 x_{18} & + 21.86 x_{13} & -93.63 x_{10} & + 12.10 x_{31}\\
 x_{20}   &  2494.90237349 & -412.10 x_{1} & -674.21 x_{15} & + 15.73 x_{21} & + 37.09 x_{2} & + 26.59 x_{32} & -10.15 x_{28} & + 228.44 x_{16} & -668.36 x_{12} & + 10.61 x_{8} & -82.60 x_{4} & + 32.23 x_{5} & -45.78 x_{22} & -51.92 x_{18} & + 180.36 x_{13} & -387.48 x_{10} & + 35.36 x_{31}\\
 x_{17}   &  814.850745314 & -114.23 x_{1} & -195.18 x_{15} & +  3.79 x_{21} & + 10.95 x_{2} & +  6.56 x_{32} & -2.57 x_{28} & + 51.57 x_{16} & -207.45 x_{12} & -13.56 x_{8} & -36.73 x_{4} & -24.02 x_{5} & -13.52 x_{22} & -15.53 x_{18} & + 51.43 x_{13} & -125.57 x_{10} & +  9.61 x_{31}\\
 x_{9}   &  147.721259037 & -25.78 x_{1} & -41.91 x_{15} & +  1.02 x_{21} & +  2.78 x_{2} & +  1.67 x_{32} & -0.56 x_{28} & + 13.97 x_{16} & -40.62 x_{12} & +  0.81 x_{8} & -4.67 x_{4} & +  2.98 x_{5} & -2.80 x_{22} & -3.15 x_{18} & + 10.12 x_{13} & -23.18 x_{10} & +  2.19 x_{31}\\
 x_{27}   &  1519.94485318 & -227.85 x_{1} & -403.17 x_{15} & +  9.07 x_{21} & +  4.77 x_{2} & + 14.57 x_{32} & -5.36 x_{28} & + 117.50 x_{16} & -390.62 x_{12} & -14.75 x_{8} & -48.16 x_{4} & +  3.53 x_{5} & -26.43 x_{22} & -30.66 x_{18} & + 85.92 x_{13} & -225.30 x_{10} & + 20.73 x_{31}\\
 x_{30}   &  602.365619602 & -142.23 x_{1} & -196.18 x_{15} & +  7.75 x_{21} & + 36.45 x_{2} & +  8.68 x_{32} & -3.53 x_{28} & + 92.30 x_{16} & -181.71 x_{12} & + 12.88 x_{8} & -1.87 x_{4} & + 23.83 x_{5} & -11.77 x_{22} & -17.30 x_{18} & + 88.72 x_{13} & -94.27 x_{10} & +  9.84 x_{31}\\
 x_{14}   &  20.9964173757 & -4.37 x_{1} & -7.10 x_{15} & +  0.16 x_{21} & -0.23 x_{2} & +  0.32 x_{32} & -0.08 x_{28} & +  2.24 x_{16} & -5.89 x_{12} & +  0.77 x_{8} & -0.05 x_{4} & +  2.35 x_{5} & -0.45 x_{22} & -0.46 x_{18} & +  0.40 x_{13} & -2.64 x_{10} & +  0.46 x_{31}\\
 x_{7}   &  102.629518265 & -16.13 x_{1} & -27.82 x_{15} & +  0.69 x_{21} & +  1.74 x_{2} & +  1.03 x_{32} & -0.44 x_{28} & +  9.17 x_{16} & -27.65 x_{12} & -0.05 x_{8} & -2.55 x_{4} & +  0.72 x_{5} & -1.84 x_{22} & -2.18 x_{18} & +  7.54 x_{13} & -15.17 x_{10} & +  1.43 x_{31}\\
 x_{19}   &  1337.43925533 & -220.68 x_{1} & -354.45 x_{15} & +  8.38 x_{21} & + 29.98 x_{2} & + 14.06 x_{32} & -5.48 x_{28} & + 116.87 x_{16} & -348.26 x_{12} & +  9.63 x_{8} & -42.30 x_{4} & + 12.52 x_{5} & -24.26 x_{22} & -26.75 x_{18} & + 87.92 x_{13} & -197.80 x_{10} & + 17.89 x_{31}\\
 x_{11}   &  37.0429914913 & -3.55 x_{1} & -8.81 x_{15} & +  0.03 x_{21} & -1.29 x_{2} & +  0.22 x_{32} & -0.05 x_{28} & +  1.16 x_{16} & -8.27 x_{12} & -1.18 x_{8} & -1.40 x_{4} & -1.18 x_{5} & -0.59 x_{22} & -0.53 x_{18} & +  0.22 x_{13} & -5.30 x_{10} & +  0.45 x_{31}\\
\hline
z    &  523.001471435 & -85.06 x_{1} & -141.42 x_{15} & +  3.24 x_{21} & +  2.97 x_{2} & +  5.44 x_{32} & -1.68 x_{28} & + 43.19 x_{16} & -140.42 x_{12} & +  2.88 x_{8} & -17.57 x_{4} & +  1.12 x_{5} & -9.56 x_{22} & -10.78 x_{18} & + 33.51 x_{13} & -85.88 x_{10} & +  7.22 x_{31}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{11} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{26}   &  1102.04591126 & -173.17 x_{1} & -279.50 x_{15} & +  4.43 x_{21} & -16.84 x_{11} & + 11.07 x_{32} & -3.05 x_{28} & + 86.58 x_{16} & -276.35 x_{12} & -3.74 x_{8} & -52.15 x_{4} & -7.63 x_{5} & -19.76 x_{22} & -20.28 x_{18} & + 55.58 x_{13} & -181.68 x_{10} & + 14.89 x_{31}\\
 x_{3}   &  119.782978512 & -16.90 x_{1} & -31.25 x_{15} & +  0.53 x_{21} & -1.55 x_{11} & +  1.12 x_{32} & -0.35 x_{28} & +  8.75 x_{16} & -30.02 x_{12} & -1.36 x_{8} & -4.33 x_{4} & +  0.36 x_{5} & -2.08 x_{22} & -2.25 x_{18} & +  6.17 x_{13} & -17.93 x_{10} & +  1.65 x_{31}\\
 x_{24}   &  3204.47890967 & -465.65 x_{1} & -844.60 x_{15} & + 15.65 x_{21} & -36.76 x_{11} & + 30.62 x_{32} & -10.55 x_{28} & + 251.69 x_{16} & -814.16 x_{12} & -21.26 x_{8} & -100.24 x_{4} & +  7.63 x_{5} & -57.20 x_{22} & -61.47 x_{18} & + 158.16 x_{13} & -480.71 x_{10} & + 45.17 x_{31}\\
 x_{25}   &  352.962843215 & -63.18 x_{1} & -111.67 x_{15} & +  3.07 x_{21} & +  8.72 x_{11} & +  4.05 x_{32} & -1.19 x_{28} & + 22.71 x_{16} & -108.64 x_{12} & + 13.37 x_{8} & -2.15 x_{4} & + 18.82 x_{5} & -6.79 x_{22} & -8.03 x_{18} & + 24.22 x_{13} & -58.38 x_{10} & +  6.15 x_{31}\\
 x_{29}   &  3008.86554914 & -419.49 x_{1} & -782.32 x_{15} & + 12.26 x_{21} & -30.27 x_{11} & + 26.57 x_{32} & -8.93 x_{28} & + 200.63 x_{16} & -750.70 x_{12} & -41.30 x_{8} & -102.78 x_{4} & -6.91 x_{5} & -52.42 x_{22} & -54.40 x_{18} & + 128.68 x_{13} & -454.74 x_{10} & + 40.09 x_{31}\\
 x_{6}   &  207.659918424 & -28.54 x_{1} & -53.16 x_{15} & +  0.84 x_{21} & -2.03 x_{11} & +  1.87 x_{32} & -0.64 x_{28} & + 14.83 x_{16} & -52.13 x_{12} & -2.12 x_{8} & -7.63 x_{4} & -1.13 x_{5} & -3.65 x_{22} & -3.78 x_{18} & + 10.07 x_{13} & -31.58 x_{10} & +  2.76 x_{31}\\
 x_{23}   &  627.60097493 & -135.21 x_{1} & -203.17 x_{15} & +  5.08 x_{21} & +  1.42 x_{11} & +  8.73 x_{32} & -1.68 x_{28} & + 65.63 x_{16} & -166.00 x_{12} & +  1.83 x_{8} & -15.84 x_{4} & + 46.48 x_{5} & -12.38 x_{22} & -13.75 x_{18} & + 21.55 x_{13} & -86.10 x_{10} & + 11.46 x_{31}\\
 x_{20}   &  3563.06128134 & -514.48 x_{1} & -928.16 x_{15} & + 16.53 x_{21} & -28.84 x_{11} & + 32.84 x_{32} & -11.71 x_{28} & + 261.97 x_{16} & -906.93 x_{12} & -23.54 x_{8} & -123.08 x_{4} & -1.67 x_{5} & -62.90 x_{22} & -67.19 x_{18} & + 186.62 x_{13} & -540.43 x_{10} & + 48.30 x_{31}\\
 x_{17}   &  1130.3186928 & -144.47 x_{1} & -270.18 x_{15} & +  4.03 x_{21} & -8.52 x_{11} & +  8.41 x_{32} & -3.03 x_{28} & + 61.47 x_{16} & -277.91 x_{12} & -23.65 x_{8} & -48.68 x_{4} & -34.03 x_{5} & -18.58 x_{22} & -20.04 x_{18} & + 53.28 x_{13} & -170.75 x_{10} & + 13.43 x_{31}\\
 x_{9}   &  227.773477915 & -33.45 x_{1} & -60.95 x_{15} & +  1.08 x_{21} & -2.16 x_{11} & +  2.14 x_{32} & -0.68 x_{28} & + 16.48 x_{16} & -58.50 x_{12} & -1.74 x_{8} & -7.70 x_{4} & +  0.44 x_{5} & -4.08 x_{22} & -4.29 x_{18} & + 10.59 x_{13} & -34.64 x_{10} & +  3.16 x_{31}\\
 x_{27}   &  1657.29357342 & -241.01 x_{1} & -435.83 x_{15} & +  9.17 x_{21} & -3.71 x_{11} & + 15.37 x_{32} & -5.56 x_{28} & + 121.81 x_{16} & -421.29 x_{12} & -19.15 x_{8} & -53.36 x_{4} & -0.82 x_{5} & -28.64 x_{22} & -32.62 x_{18} & + 86.73 x_{13} & -244.97 x_{10} & + 22.39 x_{31}\\
 x_{30}   &  1652.30521289 & -242.86 x_{1} & -445.80 x_{15} & +  8.53 x_{21} & -28.34 x_{11} & + 14.83 x_{32} & -5.06 x_{28} & + 125.25 x_{16} & -416.21 x_{12} & -20.68 x_{8} & -41.65 x_{4} & -9.49 x_{5} & -28.60 x_{22} & -32.30 x_{18} & + 94.87 x_{13} & -244.62 x_{10} & + 22.56 x_{31}\\
 x_{14}   &  14.4829387187 & -3.75 x_{1} & -5.55 x_{15} & +  0.16 x_{21} & +  0.18 x_{11} & +  0.28 x_{32} & -0.07 x_{28} & +  2.03 x_{16} & -4.44 x_{12} & +  0.97 x_{8} & +  0.20 x_{4} & +  2.55 x_{5} & -0.35 x_{22} & -0.36 x_{18} & +  0.36 x_{13} & -1.71 x_{10} & +  0.38 x_{31}\\
 x_{7}   &  152.695781934 & -20.93 x_{1} & -39.72 x_{15} & +  0.73 x_{21} & -1.35 x_{11} & +  1.32 x_{32} & -0.51 x_{28} & + 10.74 x_{16} & -38.83 x_{12} & -1.65 x_{8} & -4.45 x_{4} & -0.87 x_{5} & -2.64 x_{22} & -2.89 x_{18} & +  7.83 x_{13} & -22.34 x_{10} & +  2.03 x_{31}\\
 x_{19}   &  2200.84092718 & -303.43 x_{1} & -559.73 x_{15} & +  9.03 x_{21} & -23.31 x_{11} & + 19.11 x_{32} & -6.74 x_{28} & + 143.96 x_{16} & -541.11 x_{12} & -17.97 x_{8} & -75.01 x_{4} & -14.88 x_{5} & -38.10 x_{22} & -39.09 x_{18} & + 92.98 x_{13} & -321.44 x_{10} & + 28.35 x_{31}\\
 x_{2}   &  28.801183844 & -2.76 x_{1} & -6.85 x_{15} & +  0.02 x_{21} & -0.78 x_{11} & +  0.17 x_{32} & -0.04 x_{28} & +  0.90 x_{16} & -6.43 x_{12} & -0.92 x_{8} & -1.09 x_{4} & -0.91 x_{5} & -0.46 x_{22} & -0.41 x_{18} & +  0.17 x_{13} & -4.12 x_{10} & +  0.35 x_{31}\\
\hline
z    &  608.480053721 & -93.25 x_{1} & -161.75 x_{15} & +  3.30 x_{21} & -2.31 x_{11} & +  5.94 x_{32} & -1.81 x_{28} & + 45.87 x_{16} & -159.51 x_{12} & +  0.15 x_{8} & -20.81 x_{4} & -1.59 x_{5} & -10.94 x_{22} & -12.00 x_{18} & + 34.02 x_{13} & -98.12 x_{10} & +  8.26 x_{31}\\
\end{array}\]


 $ x_{8} $ enters and $ x_{2} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{26}   &  985.154311649 & -161.97 x_{1} & -251.71 x_{15} & +  4.35 x_{21} & -13.69 x_{11} & + 10.39 x_{32} & -2.88 x_{28} & + 82.91 x_{16} & -250.24 x_{12} & +  4.06 x_{2} & -47.72 x_{4} & -3.92 x_{5} & -17.89 x_{22} & -18.61 x_{18} & + 54.90 x_{13} & -164.94 x_{10} & + 13.48 x_{31}\\
 x_{3}   &  77.2378971256 & -12.82 x_{1} & -21.14 x_{15} & +  0.50 x_{21} & -0.40 x_{11} & +  0.87 x_{32} & -0.29 x_{28} & +  7.42 x_{16} & -20.52 x_{12} & +  1.48 x_{2} & -2.72 x_{4} & +  1.71 x_{5} & -1.39 x_{22} & -1.64 x_{18} & +  5.92 x_{13} & -11.83 x_{10} & +  1.13 x_{31}\\
 x_{24}   &  2539.26928896 & -401.89 x_{1} & -686.45 x_{15} & + 15.15 x_{21} & -18.80 x_{11} & + 26.73 x_{32} & -9.57 x_{28} & + 230.81 x_{16} & -665.58 x_{12} & + 23.10 x_{2} & -75.04 x_{4} & + 28.74 x_{5} & -46.54 x_{22} & -51.97 x_{18} & + 154.26 x_{13} & -385.46 x_{10} & + 37.11 x_{31}\\
 x_{25}   &  771.361195159 & -103.28 x_{1} & -211.14 x_{15} & +  3.38 x_{21} & -2.57 x_{11} & +  6.49 x_{32} & -1.80 x_{28} & + 35.84 x_{16} & -202.09 x_{12} & -14.53 x_{2} & -18.00 x_{4} & +  5.54 x_{5} & -13.50 x_{22} & -14.01 x_{18} & + 26.67 x_{13} & -118.30 x_{10} & + 11.22 x_{31}\\
 x_{29}   &  1716.74621785 & -295.65 x_{1} & -475.12 x_{15} & + 11.29 x_{21} & +  4.61 x_{11} & + 19.01 x_{32} & -7.04 x_{28} & + 160.08 x_{16} & -462.11 x_{12} & + 44.86 x_{2} & -53.83 x_{4} & + 34.09 x_{5} & -31.71 x_{22} & -35.94 x_{18} & + 121.10 x_{13} & -269.71 x_{10} & + 24.44 x_{31}\\
 x_{6}   &  141.448940998 & -22.19 x_{1} & -37.42 x_{15} & +  0.79 x_{21} & -0.25 x_{11} & +  1.48 x_{32} & -0.55 x_{28} & + 12.75 x_{16} & -37.34 x_{12} & +  2.30 x_{2} & -5.12 x_{4} & +  0.98 x_{5} & -2.59 x_{22} & -2.83 x_{18} & +  9.68 x_{13} & -22.10 x_{10} & +  1.96 x_{31}\\
 x_{23}   &  684.854765507 & -140.70 x_{1} & -216.78 x_{15} & +  5.12 x_{21} & -0.13 x_{11} & +  9.06 x_{32} & -1.77 x_{28} & + 67.42 x_{16} & -178.79 x_{12} & -1.99 x_{2} & -18.01 x_{4} & + 44.67 x_{5} & -13.30 x_{22} & -14.57 x_{18} & + 21.89 x_{13} & -94.30 x_{10} & + 12.16 x_{31}\\
 x_{20}   &  2826.69213313 & -443.90 x_{1} & -753.09 x_{15} & + 15.98 x_{21} & -8.96 x_{11} & + 28.53 x_{32} & -10.63 x_{28} & + 238.86 x_{16} & -742.46 x_{12} & + 25.57 x_{2} & -95.18 x_{4} & + 21.70 x_{5} & -51.10 x_{22} & -56.66 x_{18} & + 182.31 x_{13} & -434.99 x_{10} & + 39.38 x_{31}\\
 x_{17}   &  390.569591528 & -73.57 x_{1} & -94.30 x_{15} & +  3.48 x_{21} & + 11.45 x_{11} & +  4.08 x_{32} & -1.95 x_{28} & + 38.25 x_{16} & -112.69 x_{12} & + 25.68 x_{2} & -20.66 x_{4} & -10.56 x_{5} & -6.72 x_{22} & -9.47 x_{18} & + 48.94 x_{13} & -64.82 x_{10} & +  4.47 x_{31}\\
 x_{9}   &  173.183812405 & -28.22 x_{1} & -47.97 x_{15} & +  1.04 x_{21} & -0.69 x_{11} & +  1.82 x_{32} & -0.60 x_{28} & + 14.77 x_{16} & -46.30 x_{12} & +  1.90 x_{2} & -5.64 x_{4} & +  2.18 x_{5} & -3.21 x_{22} & -3.51 x_{18} & + 10.27 x_{13} & -26.83 x_{10} & +  2.50 x_{31}\\
 x_{27}   &  1058.33850227 & -183.61 x_{1} & -293.43 x_{15} & +  8.72 x_{21} & + 12.46 x_{11} & + 11.87 x_{32} & -4.68 x_{28} & + 103.01 x_{16} & -287.52 x_{12} & + 20.80 x_{2} & -30.67 x_{4} & + 18.18 x_{5} & -19.03 x_{22} & -24.06 x_{18} & + 83.21 x_{13} & -159.20 x_{10} & + 15.14 x_{31}\\
 x_{30}   &  1005.2091528 & -180.84 x_{1} & -291.95 x_{15} & +  8.05 x_{21} & -10.88 x_{11} & + 11.04 x_{32} & -4.12 x_{28} & + 104.94 x_{16} & -271.68 x_{12} & + 22.47 x_{2} & -17.14 x_{4} & + 11.04 x_{5} & -18.23 x_{22} & -23.05 x_{18} & + 91.08 x_{13} & -151.96 x_{10} & + 14.72 x_{31}\\
 x_{14}   &  44.9398638427 & -6.67 x_{1} & -12.79 x_{15} & +  0.18 x_{21} & -0.65 x_{11} & +  0.46 x_{32} & -0.11 x_{28} & +  2.99 x_{16} & -11.24 x_{12} & -1.06 x_{2} & -0.96 x_{4} & +  1.59 x_{5} & -0.83 x_{22} & -0.80 x_{18} & +  0.54 x_{13} & -6.07 x_{10} & +  0.75 x_{31}\\
 x_{7}   &  100.994326778 & -15.97 x_{1} & -27.43 x_{15} & +  0.69 x_{21} & +  0.04 x_{11} & +  1.02 x_{32} & -0.43 x_{28} & +  9.11 x_{16} & -27.28 x_{12} & +  1.80 x_{2} & -2.49 x_{4} & +  0.77 x_{5} & -1.81 x_{22} & -2.16 x_{18} & +  7.53 x_{13} & -14.94 x_{10} & +  1.41 x_{31}\\
 x_{19}   &  1638.6607413 & -249.55 x_{1} & -426.07 x_{15} & +  8.61 x_{21} & -8.13 x_{11} & + 15.82 x_{32} & -5.92 x_{28} & + 126.32 x_{16} & -415.54 x_{12} & + 19.52 x_{2} & -53.71 x_{4} & +  2.96 x_{5} & -29.09 x_{22} & -31.05 x_{18} & + 89.68 x_{13} & -240.94 x_{10} & + 21.54 x_{31}\\
 x_{8}   &  31.284795764 & -3.00 x_{1} & -7.44 x_{15} & +  0.02 x_{21} & -0.84 x_{11} & +  0.18 x_{32} & -0.05 x_{28} & +  0.98 x_{16} & -6.99 x_{12} & -1.09 x_{2} & -1.19 x_{4} & -0.99 x_{5} & -0.50 x_{22} & -0.45 x_{18} & +  0.18 x_{13} & -4.48 x_{10} & +  0.38 x_{31}\\
\hline
z    &  613.167170953 & -93.70 x_{1} & -162.86 x_{15} & +  3.30 x_{21} & -2.43 x_{11} & +  5.97 x_{32} & -1.81 x_{28} & + 46.02 x_{16} & -160.56 x_{12} & -0.16 x_{2} & -20.99 x_{4} & -1.74 x_{5} & -11.01 x_{22} & -12.07 x_{18} & + 34.04 x_{13} & -98.79 x_{10} & +  8.31 x_{31}\\
\end{array}\]


 $ x_{13} $ enters and Unbounded Dictionary!


 $ x_{13} $ enters and Unbounded Dictionary!
\end{document}
